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Permutable subgroups of infinite groups

โœ Scribed by Stewart E. Stonehewer


Publisher
Springer-Verlag
Year
1972
Tongue
French
Weight
789 KB
Volume
125
Category
Article
ISSN
0025-5874

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## dedicated to john cossey on the occasion of his 60th birthday An extension of the well-known Frobenius criterion of p-nilpotence in groups with modular Sylow p-subgroups is proved in the paper. This result is useful to get information about the classes of groups in which every subnormal subgrou

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A finite group G is said to be a PST -group if every subnormal subgroup of G permutes with every Sylow subgroup of G. We shall discuss the normal structure of soluble PST -groups, mainly defining a local version of this concept. A deep study of the local structure turns out to be crucial for obtaini