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Simple groups with a small number of conjugacy classes

✍ Scribed by A. G. Aleksandrov; É. A. Komissarchik


Publisher
Springer US
Year
1987
Tongue
English
Weight
579 KB
Volume
37
Category
Article
ISSN
1573-8795

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📜 SIMILAR VOLUMES


Groups with a Bounded Number of Conjugac
✍ Roberta La Haye; Akbar Rhemtulla 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 169 KB

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