Groups with finite conjugacy classes of non-subnormal subgroups
โ Scribed by S. Franciosi; F. de Giovanni; L.A. Kurdachenko
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 202 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0003-889X
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๐ SIMILAR VOLUMES
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
Let ฮฝ G denote the number of conjugacy classes of non-normal subgroups of a group G We prove that if G is a finite group and ฮฝ G = 0 then there is a cyclic subgroup C of prime power order contained in the centre of G such that the order of G/C is a product of at most ฮฝ G + 1 primes. We also obtain a