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The finitep-groups withpconjugacy classes of non-normal subgroups

✍ Scribed by Gustavo A. Fernández-Alcober; Leire Legarreta


Book ID
107529354
Publisher
The Hebrew University Magnes Press
Year
2010
Tongue
English
Weight
197 KB
Volume
180
Category
Article
ISSN
0021-2172

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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