Artin L-function: Difference between revisions

Revision as of 21:23, 25 May 2013

Subgroup properties are properties of subgroups of a group. These properties are assumed to satisfy only one condition : they must be invariant up to commuting isomorphism. That is, if $G$ and $G^{'}$ are isomorphic groups, and $H$ is a subgroup of $G$ whose image under the isomorphism is $H^{'}$ then $H$ has the property in $G$ if and only if $H^{'}$ has the property in $G^{'}$ .

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+Subgroup properties are properties of subgroups of a group. These properties
+are assumed to satisfy only one condition : they must be invariant up to commuting isomorphism.
+That is, if <math>G</math> and <math>G'</math> are isomorphic groups, and <math>H</math>
+is a subgroup of <math>G</math> whose image under the isomorphism is <math>H'</math>
+then <math>H</math> has the property in <math>G</math> if and only if <math>H'</math> has the property in <math>G'</math>.
+[[Category:Group theory]]

Artin L-function: Difference between revisions

Revision as of 21:23, 25 May 2013

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