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Finite soluble groups with an Engel condition

✍ Scribed by T.A Peng


Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
570 KB
Volume
11
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


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✍ Martyn R. Dixon; Martin J. Evans; Howard Smith πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 159 KB

The authors investigate the structure of locally soluble-by-finite groups that satisfy the weak minimal condition on non-nilpotent subgroups. They show, among other things, that every such group is minimax or locally nilpotent.

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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