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Conjugacy classes of non-normal subgroups of finitep-groups

✍ Scribed by Rolf Brandl


Book ID
120953225
Publisher
The Hebrew University Magnes Press
Year
2012
Tongue
English
Weight
119 KB
Volume
195
Category
Article
ISSN
0021-2172

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πŸ“œ SIMILAR VOLUMES


Groups with a Bounded Number of Conjugac
✍ Roberta La Haye; Akbar Rhemtulla πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 169 KB

Let Ξ½ 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 Ξ½ 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 Ξ½ G + 1 primes. We also obtain a