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RESEARCH PRODUCT

On some classes of supersoluble groups

Ramon Esteban-romeroAdolfo Ballester-bolinchesJames C. Beidleman

subject

p-groupNormal subgroupDiscrete mathematicsComplement (group theory)Lagrange theoremAlgebra and Number TheorySylow theoremsGrups Teoria deSylow subgroupFitting subgroupCombinatoricsSubgroupLocally finite groupPermutabilityÀlgebraIndex of a subgroupFinite groupMATEMATICA APLICADAMathematics

description

[EN] Finite groups G for which for every subgroup H and for all primes q dividing the index |G:H| there exists a subgroup K of G such that H is contained in K and |K:H|=q are called Y-groups. Groups in which subnormal subgroups permute with all Sylow subgroups are called PST-groups. In this paper a local version of the Y-property leading to a local characterisation of Y-groups, from which the classical characterisation emerges, is introduced. The relationship between PST-groups and Y-groups is also analysed.

yearjournalcountryeditionlanguage
2007-06-01Journal of Algebra
10.1016/j.jalgebra.2006.07.035http://dx.doi.org/10.1016/j.jalgebra.2006.07.035