Search results for "Omega-local formation"

showing 2 items of 2 documents

Products of formations of finite groups

2006

[EN] In this paper criteria for a product of formations to be X-local, X a class of simple groups, are obtained. Some classical results on products of saturated formations appear as particular cases.

Class (set theory)Finite groupAlgebra and Number TheoryGrups Teoria deX-local formationOmega-local formationAlgebraProduct (mathematics)Simple groupÀlgebraFinite groupMATEMATICA APLICADAFormation productMathematics
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On X-saturated formations of finite groups

2005

[EN] In the paper, a Frattini-like subgroup associated with a class X of simple groups is introduced and analysed. The corresponding X-saturated formations are exactly the X-local ones introduced by Förster. Our techniques are also very useful to highlight the properties and behaviour of omega-local formations. In fact, extensions and improvements of several results of Shemetkov are natural consequences of our study.

Class (set theory)Finite groupAlgebra and Number TheorySaturated formationGrups Teoria deP-saturated formationX-local formationLocal formationOmega-local formationGeneralized frattini subgroupOmega-saturated formationAlgebraSimple groupX-saturated formationÀlgebraFinite groupAlgebra over a fieldMATEMATICA APLICADAMathematics
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