6533b85afe1ef96bd12b982e

RESEARCH PRODUCT

On second maximal subgroups of Sylow subgroups of finite groups

Luis M. EzquerroAdolfo Ballester-bolinchesAlexander N. Skiba

subject

Discrete mathematicsp-groupAlgebra and Number TheoryComputer Science::Neural and Evolutionary ComputationMathematics::History and OverviewSylow theoremsChief seriesPhysics::History of PhysicsPrime (order theory)Physics::Popular PhysicsMathematics::Group TheoryMaximal subgroupLocally finite groupCover (algebra)Mathematics

description

Abstract Finite groups in which the second maximal subgroups of the Sylow p -subgroups, p a fixed prime, cover or avoid the chief factors of some of its chief series are completely classified.

10.1016/j.jpaa.2010.06.020http://dx.doi.org/10.1016/j.jpaa.2010.06.020