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On coprimeG-conjugacy class sizes in a normal subgroup

✍ Scribed by Xian He Zhao,Hai Peng Qu,Gui Yun Chen


Book ID
126348122
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2014
Tongue
English
Weight
185 KB
Volume
30
Category
Article
ISSN
1439-7617

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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