On some classes of supersoluble groups
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Ballester-Bolinches, Adolfo; Beidleman, J.C.; Esteban Romero, Ramón
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Aquest document és un/a article, creat/da en: 2007
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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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