G and G amalgamating a common subgroup H. The first problem that 1 2 one encounters is that the residual finiteness of G and G does not imply 1 2 w x in general that G is residually finite. Baumslag 1 proved that if G and 1 G are either both free or both torsion-free finitely generated nilpotent 2 g
Approximation of free groups with respect to conjugacy
โ Scribed by A. I. Nekritsukhin
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1981
- Tongue
- English
- Weight
- 217 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0001-4346
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๐ SIMILAR VOLUMES
In this paper we prove that a free product of conjugacy separable groups A and B, amalgamating a cyclic subgroup, is conjugacy separable if A and B are subgroup separable, cyclic conjugacy separable, 2-free, and residually p-finite, for all prime numbers p. The following result is an example of the
We prove that generalized free products of two free groups or finitely generated torsion-free nilpotent groups amalgamating a cyclic subgroup are cyclic conjugacy separable. Using this we prove that generalized free products of two surface groups amalgamating a cyclic subgroup are conjugacy separabl
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