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
Sylow Permutable Subnormal Subgroups of Finite Groups
β Scribed by A. Ballester-Bolinches; R. Esteban-Romero
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 104 KB
- Volume
- 251
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
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 subgroup is permutable and Sylow permutable.  2002 Elsevier Science (USA)
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