Imperfect group: Difference between revisions
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A [[group]] is termed an '''imperfect group''' if it has no nontrivial [[quotient group]] that is a [[defining ingredient::perfect group]]. | A [[group]] is termed an '''imperfect group''' if it has no nontrivial [[quotient group]] that is a [[defining ingredient::perfect group]]. | ||
==Examples== | |||
{{group property see examples}} | |||
==Relation with other properties== | ==Relation with other properties== | ||
Revision as of 00:21, 10 September 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
Definition
A group is termed an imperfect group if it has no nontrivial quotient group that is a perfect group.
Examples
VIEW: groups satisfying this property | groups dissatisfying this property
VIEW: Related group property satisfactions | Related group property dissatisfactions