Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4588981 | Journal of Algebra | 2007 | 10 Pages |
Abstract
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.
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Physical Sciences and Engineering
Mathematics
Algebra and Number Theory