Groups with a Bounded Number of Conjugac
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Roberta La Haye; Akbar Rhemtulla
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Article
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1999
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Elsevier Science
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English
β 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