Difference between revisions of "Group in which every maximal subgroup is normal"

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(Relation with other properties)
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* [[Weaker than::Nilpotent group]]: {{proofat|[[Nilpotent implies every maximal subgroup is normal]]}}
 
* [[Weaker than::Nilpotent group]]: {{proofat|[[Nilpotent implies every maximal subgroup is normal]]}}
 
* [[Weaker than::Hypercentral group]]
 
* [[Weaker than::Hypercentral group]]
* [[Weaker than::Group satisfying normalizer condition]]
+
* [[Weaker than::Group satisfying normalizer condition]]: {{proofat|[[Normalizer condition implies every maximal subgroup is normal]]}}

Revision as of 01:35, 7 February 2009

This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
View a complete list of group properties
VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions
This is a variation of nilpotence|Find other variations of nilpotence | Read a survey article on varying nilpotence

Definition

A group in which every maximal subgroup is normal is a group satisfying the following equivalent conditions:

Relation with other properties

Stronger properties