P-Frattini-realizable group: Difference between revisions
m (P-Frattini realizable group moved to P-Frattini-realizable group) |
m (5 revisions) |
||
| (3 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
{{wikilocal}} | |||
{{finite group property}} | {{finite group property}} | ||
| Line 11: | Line 12: | ||
* [[Finite-Frattini-realizable group]] | * [[Finite-Frattini-realizable group]] | ||
* [[p-Frattini-embedded normal-realizable group]] | * [[p-Frattini-embedded normal-realizable group]] | ||
===Opposite properties=== | |||
* Non-Abelian [[cyclic-center group]]: {{proofat|[[p-Frattini-realizable implies not non-Abelian cyclic-center]]}} | |||
Latest revision as of 23:59, 7 May 2008
BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
This article defines a property that can be evaluated for finite groups (and hence, a particular kind of group property)
View other properties of finite groups OR View all group properties
Definition
A finite group, specifically a group of prime power order, is termed -Frattini-realizable if it can be realized as the Frattini subgroup of a -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