Gruenberg group: Difference between revisions
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===Stronger properties=== | ===Stronger properties=== | ||
* [[Nilpotent group]] | * [[Weaker than::Nilpotent group]] | ||
* [[ | * [[Weaker than::Group satisfying normalizer condition]] | ||
===Weaker properties=== | ===Weaker properties=== | ||
* [[Locally nilpotent group]] | * [[Stronger than::Locally nilpotent group]] | ||
Revision as of 17:46, 1 September 2008
This article defines a term that has been used or referenced in a journal article or standard publication, but may not be generally accepted by the mathematical community as a standard term.[SHOW MORE]
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
Symbol-free definition
A group is said to be a Gruenberg group if every cyclic subgroup of it is ascendant.