Conjugacy of subgroups of a free group
โ Scribed by D. I. Moldavanskii
- Publisher
- Springer US
- Year
- 1969
- Tongue
- English
- Weight
- 173 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0002-5232
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๐ SIMILAR VOLUMES
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
We first prove a criterion for the conjugacy separability of generalized free products of two conjugacy separable groups amalgamating a cyclic subgroup. Applying this result, we show that tree products of a finite number of conjugacy separable, residually finitely generated torsion-free nilpotent gr