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Approximation of free groups with respect to conjugacy

โœ 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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๐Ÿ“œ SIMILAR VOLUMES


Conjugacy Separability of Amalgamated Fr
โœ Luis Ribes; Pavel A. Zalesskii ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 310 KB

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

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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

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โœ C.Y. Tang ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 587 KB

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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โœ Goansu Kim; C.Y. Tang ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 293 KB

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