6533b7cffe1ef96bd1258ae3

RESEARCH PRODUCT

Z-permutable subgroups of finite groups

A.a. HelielAdolfo Ballester BolinchesRamón Esteban RomeroM.o. Almestady

subject

P-soluble groupP-supersolubleGrups Teoria deFinite groupMATEMATICA APLICADAMatemàticaSubnormal subgroupZ-permutable subgroup

description

Let Z be a complete set of Sylow subgroups of a finite group G, that is, a set composed of a Sylow p-subgroup of G for each p dividing the order of G. A subgroup H of G is called Z-permutable if H permutes with all members of Z. The main goal of this paper is to study the embedding of the Z-permutable subgroups and the influence of Z-permutability on the group structure.

yearjournalcountryeditionlanguage
2016-01-01
10.1007/s00605-015-0756-1https://doi.org/10.1007/s00605-015-0756-1