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Groups of Prime Power Order with Many Conjugacy Classes

โœ Scribed by Noberto Gavioli; Avinoam Mann; Valerio Monti; Andrea Previtali; Carlo M Scoppola

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
176 KB
Volume
202
Category
Article
ISSN
0021-8693

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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