Artin L-function: Difference between revisions

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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]]

Revision as of 22:23, 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 and are isomorphic groups, and is a subgroup of whose image under the isomorphism is then has the property in if and only if has the property in .

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