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RegularChains - Revision history
2026-04-18T00:59:40Z
Revision history for this page on the wiki
MediaWiki 1.43.0-wmf.28
https://en.formulasearchengine.com/index.php?title=RegularChains&diff=26058&oldid=prev
en>Crown Prince: Disambiguated: Characteristic set → Wu's method of characteristic set
2013-11-06T08:38:24Z
<p>Disambiguated: <a href="/index.php?title=Characteristic_set&action=edit&redlink=1" class="new" title="Characteristic set (page does not exist)">Characteristic set</a> → <a href="/wiki/Wu%27s_method_of_characteristic_set" title="Wu's method of characteristic set">Wu's method of characteristic set</a></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 10:38, 6 November 2013</td>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">Hello! My name </del>is <del style="font-weight: bold; text-decoration: none;">Mercedes</del>. <<del style="font-weight: bold; text-decoration: none;">br</del>><del style="font-weight: bold; text-decoration: none;">It is a little about myself: I live in Netherlands</del>, <del style="font-weight: bold; text-decoration: none;">my city of Leidschendam</del>. <<del style="font-weight: bold; text-decoration: none;">br</del>><del style="font-weight: bold; text-decoration: none;">It</del>'<del style="font-weight: bold; text-decoration: none;">s called often Northern or cultural capital </del>of <del style="font-weight: bold; text-decoration: none;">ZH. I</del>'<del style="font-weight: bold; text-decoration: none;">ve married 3 years ago</del>.<<del style="font-weight: bold; text-decoration: none;">br</del>><del style="font-weight: bold; text-decoration: none;">I have 2 children - a son </del>(<del style="font-weight: bold; text-decoration: none;">Tasha</del>) and <del style="font-weight: bold; text-decoration: none;">the daughter </del>(<del style="font-weight: bold; text-decoration: none;">Therese</del>). <del style="font-weight: bold; text-decoration: none;">We all like Creative writing</del>.<<del style="font-weight: bold; text-decoration: none;">br</del>><<del style="font-weight: bold; text-decoration: none;">br</del>><del style="font-weight: bold; text-decoration: none;">Visit my webpage </del>- <del style="font-weight: bold; text-decoration: none;">[</del>http://<del style="font-weight: bold; text-decoration: none;">www</del>.<del style="font-weight: bold; text-decoration: none;">pcs-systems</del>.<del style="font-weight: bold; text-decoration: none;">co.uk</del>/<del style="font-weight: bold; text-decoration: none;">Images</del>/<del style="font-weight: bold; text-decoration: none;">celinebag.aspx http</del>:/<del style="font-weight: bold; text-decoration: none;">/www</del>.<del style="font-weight: bold; text-decoration: none;">pcs-systems</del>.<del style="font-weight: bold; text-decoration: none;">co</del>.<del style="font-weight: bold; text-decoration: none;">uk/Images/celinebag</del>.<del style="font-weight: bold; text-decoration: none;">aspx</del>]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">In [[group theory]], a branch of [[abstract algebra]], the '''commensurator''' of a [[subgroup]] ''H'' of a [[group (mathematics)|group]] ''G'' </ins>is <ins style="font-weight: bold; text-decoration: none;">a specific subgroup of ''G''</ins>.</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">==Definition==</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">The commensurator of a subgroup ''H'' of a group ''G'', denoted comm</ins><<ins style="font-weight: bold; text-decoration: none;">sub</ins>><ins style="font-weight: bold; text-decoration: none;">''G''</sub>(''H'') or by some comm(''H''),<ref>Onishchick (2000)</ins>, <ins style="font-weight: bold; text-decoration: none;">p</ins>. <ins style="font-weight: bold; text-decoration: none;">94</ins><<ins style="font-weight: bold; text-decoration: none;">/ref</ins>> <ins style="font-weight: bold; text-decoration: none;">is the set of all elements ''g'</ins>' of '<ins style="font-weight: bold; text-decoration: none;">'G'' that [[inner automorphism|conjugate]] ''H'' and leave the result [[Commensurability (mathematics)|commensurable]] with ''H''</ins>. <ins style="font-weight: bold; text-decoration: none;"> In other words</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">: </ins><<ins style="font-weight: bold; text-decoration: none;">math</ins>><ins style="font-weight: bold; text-decoration: none;">\mathrm{comm}_G</ins>(<ins style="font-weight: bold; text-decoration: none;">H</ins>)<ins style="font-weight: bold; text-decoration: none;">=\{g\in G : gHg^{-1} \cap H \text{ has finite index in both } H \text{ </ins>and <ins style="font-weight: bold; text-decoration: none;">} gHg^{-1}\}.</math><ref>Geoghegan </ins>(<ins style="font-weight: bold; text-decoration: none;">2008</ins>)<ins style="font-weight: bold; text-decoration: none;">, p</ins>. <ins style="font-weight: bold; text-decoration: none;">348</ref></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">==Properties==</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* comm<sub>''G''</sub>(''H'') is a subgroup of ''G''</ins>.</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* comm</ins><<ins style="font-weight: bold; text-decoration: none;">sub</ins>><ins style="font-weight: bold; text-decoration: none;">''G''</ins><<ins style="font-weight: bold; text-decoration: none;">/sub</ins>><ins style="font-weight: bold; text-decoration: none;">(''H'') = ''G'' for any compact open subgroup ''H''.</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">== See also ==</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [[Commensurability (mathematics)]]</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">== Notes ==</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"><!</ins>-<ins style="font-weight: bold; text-decoration: none;">-- See </ins>http://<ins style="font-weight: bold; text-decoration: none;">en</ins>.<ins style="font-weight: bold; text-decoration: none;">wikipedia</ins>.<ins style="font-weight: bold; text-decoration: none;">org</ins>/<ins style="font-weight: bold; text-decoration: none;">wiki</ins>/<ins style="font-weight: bold; text-decoration: none;">Wikipedia</ins>:<ins style="font-weight: bold; text-decoration: none;">Footnotes on how to create references using <ref><</ins>/<ins style="font-weight: bold; text-decoration: none;">ref> tags which will then appear here automatically --></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">{{Reflist}}</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">==References==</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* {{Citation| last=Geoghegan| first=Ross| year=2008| title=Topological Methods in Group Theory| series= Graduate Texts in Mathematics| publisher=Springer| isbn = 978-0-387-74611-1}}.</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">*{{Citation|author = Onishchik, A.L</ins>. <ins style="font-weight: bold; text-decoration: none;">& Vinberg, E</ins>.<ins style="font-weight: bold; text-decoration: none;">B</ins>.<ins style="font-weight: bold; text-decoration: none;">| year=2000| title=Lie groups and Lie algebras II| series= Encyclopaedia of mathematical sciences| publisher=Springer| isbn = 3-540-50585-7}}</ins>.</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Infinite group theory]</ins>]</div></td></tr>
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en>Crown Prince
https://en.formulasearchengine.com/index.php?title=RegularChains&diff=267457&oldid=prev
en>M.Moreno-Maza: /* Main Features */
2010-10-25T06:04:30Z
<p><span class="autocomment">Main Features</span></p>
<p><b>New page</b></p><div>Hello! My name is Mercedes. <br>It is a little about myself: I live in Netherlands, my city of Leidschendam. <br>It's called often Northern or cultural capital of ZH. I've married 3 years ago.<br>I have 2 children - a son (Tasha) and the daughter (Therese). We all like Creative writing.<br><br>Visit my webpage - [http://www.pcs-systems.co.uk/Images/celinebag.aspx http://www.pcs-systems.co.uk/Images/celinebag.aspx]</div>
en>M.Moreno-Maza