Subnormal subgroup of finite index: Difference between revisions
(New page: {{subgroup property conjunction|subnormal subgroup|subgroup of finite index}} ==Definition== A '''subnormal subgroup of finite index''' in a group is a subnormal subgroup whose [[def...) |
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==Relation with other properties== | ==Relation with other properties== | ||
===Stronger properties=== | |||
* [[Weaker than::Normal subgroup of finite index]] | |||
===Weaker properties=== | ===Weaker properties=== | ||
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* [[Stronger than::Sub-(maximal normal) subgroup]]: Also related: | * [[Stronger than::Sub-(maximal normal) subgroup]]: Also related: | ||
** [[Stronger than::Composition subgroup]] | ** [[Stronger than::Composition subgroup]] | ||
* [[Stronger than::Subgroup of finite index]] | |||
Latest revision as of 19:43, 9 March 2009
This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: subnormal subgroup and subgroup of finite index
View other subgroup property conjunctions | view all subgroup properties
Definition
A subnormal subgroup of finite index in a group is a subnormal subgroup whose index in the whole group is finite.