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
Hereditary conjugacy separability of free products with amalgamation
โ Scribed by Chagas, S.C.; Zalesskii, P.A.
- Book ID
- 119305678
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 276 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0022-4049
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๐ SIMILAR VOLUMES
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
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