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单词 FullyInvariantSubgroup
释义

fully invariant subgroup


A subgroupMathworldPlanetmathPlanetmath H of a group G is fully invariant if f(H)Hfor all endomorphismsPlanetmathPlanetmath f:GG. Such a subgroup is also called fully characteristic.

This is a stronger condition than being a characteristic subgroup.

The derived subgroup is fully invariant.

Titlefully invariant subgroup
Canonical nameFullyInvariantSubgroup
Date of creation2013-03-22 13:13:07
Last modified on2013-03-22 13:13:07
Ownermclase (549)
Last modified bymclase (549)
Numerical id6
Authormclase (549)
Entry typeDefinition
Classificationmsc 20D99
Related topicCharacteristicSubgroup
Related topicSubnormalSubgroup
Related topicExampleOfFullyInvariantSubgroup
Definesfully invariant
Definesfully characteristic
Definesfully characteristic subgroup
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更新时间:2025/5/3 21:49:01