6533b859fe1ef96bd12b8255

RESEARCH PRODUCT

On second minimal subgroups of Sylow subgroups of finite groups

Ramon Esteban-romeroAdolfo Ballester-bolinchesYangming LiYangming Li

subject

p-groupComplement (group theory)Finite groupAlgebra and Number TheorySupersoluble groupSylow theoremsCombinatoricsNormal p-complementMathematics::Group TheorySecond minimal subgroupLocally finite groupSimple groupOmega and agemo subgroupFinite groupMATEMATICA APLICADAMathematicsPartial CAP-subgroupPartial cap-group

description

A subgroup H of a finite group G is a partial CAP-subgroup of G if there is a chief series of G such that H either covers or avoids its chief factors. Partial cover and avoidance property has turned out to be very useful to clear up the group structure. In this paper, finite groups in which the second minimal subgroups of their Sylow p-subgroups, p a fixed prime, are partial CAP-subgroups are completely classified.

yearjournalcountryeditionlanguage
2011-09-01
10.1016/j.jalgebra.2011.06.016https://dx.doi.org/10.1016/j.jalgebra.2011.06.016