P-Frattini-realizable group: Difference between revisions

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This article defines a property that can be evaluated for finite groups (and hence, a particular kind of group property)
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Definition

A finite group, specifically a group of prime power order, is termed $p$ -Frattini-realizable if it can be realized as the Frattini subgroup of a $p$ -group.

Relation with other properties

Weaker properties

Opposite properties

Non-Abelian cyclic-center group: For full proof, refer: p-Frattini-realizable implies not non-Abelian cyclic-center

Revision as of 23:50, 2 April 2008 (view source) Vipul (talk \| contribs) (→‎Relation with other properties) ← Older edit		Revision as of 23:51, 2 April 2008 (view source) Vipul (talk \| contribs) (→‎Opposite properties) Newer edit →
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	===Opposite properties===		===Opposite properties===

	* Non-Abelian [[cyclic-center group]]		* Non-Abelian [[cyclic-center group]]: {{proofat\|[[p-Frattini-realizable implies not non-Abelian cyclic-center]]}}