Binary scaling: Difference between revisions

Revision as of 03:21, 5 January 2014

In mathematics, in algebra, in the realm of group theory, a subgroup $H$ of a finite group $G$ is said to be semipermutable if $H$ commutes with every subgroup $K$ whose order is relatively prime to that of $H$ .

Clearly, every permutable subgroup of a finite group is semipermutable. The converse, however, is not necessarily true.

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+{{Orphan|date=July 2011}}
+In [[mathematics]], in [[algebra]], in the realm of [[group theory]], a [[subgroup]] <math>H</math> of a finite [[group (mathematics)|group]] <math>G</math> is said to be '''semipermutable''' if <math>H</math> commutes with every subgroup <math>K</math> whose order is relatively prime to that of <math>H</math>.
+Clearly, every [[permutable subgroup]] of a finite group is semipermutable. The converse, however, is not necessarily true.
+==External links==
+* [http://www.pphmj.com/article.php?act=art_abstract_show&art_id=593&search= The semipermutable subgroup and finite nilpotent group]
+* The Influence of semipermutable subgroups on the structure of finite groups
+[[Category:Subgroup properties]]
+{{Abstract-algebra-stub}}