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On groups with a small number of classes of conjugate noncomplemented subgroups

โœ Scribed by P. P. Baryshovets; N. N. Bilotskii


Book ID
106554242
Publisher
Springer
Year
2011
Tongue
English
Weight
83 KB
Volume
62
Category
Article
ISSN
0041-5995

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๐Ÿ“œ SIMILAR VOLUMES


Groups with a Bounded Number of Conjugac
โœ Roberta La Haye; Akbar Rhemtulla ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 169 KB

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