6533b7cffe1ef96bd1257d59

RESEARCH PRODUCT

On X-saturated formations of finite groups

Ramon Esteban-romeroClara CalvoAdolfo Ballester-bolinches

subject

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

description

[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.

yearjournalcountryeditionlanguage
2005-01-01
10.1081/agb-200053809http://hdl.handle.net/10550/47120