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
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On finite groups whose every proper normal subgroup is a union of a given number of conjugacy classes
β Scribed by Ali Reza Ashrafi; Geetha Venkataraman
- Publisher
- Indian Academy of Sciences
- Year
- 2004
- Tongue
- English
- Weight
- 142 KB
- Volume
- 114
- Category
- Article
- ISSN
- 0253-4142
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