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Conjugacy Separability of Certain Polygonal Products

Published online by Cambridge University Press:  20 November 2018

Goansu Kim
Goansu Kim*
Affiliation:
Department of Mathematics, Kangnung National University, Kangnung, 210-702, Korea, e-mail:gskim@knusun.kangnung.ac.kr
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Abstract

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We show that polygonal products of polycyclic-by-finite groups amalgamating central cyclic subgroups, with trivial intersections, are conjugacy separable. Thus polygonal products of finitely generated abelian groups amalgamating cyclic subgroups, with trivial intersections, are conjugacy separable. As a corollary of this, we obtain that the group A1 *〈a1〉A2 *〈a2〉 • • • *〈am-1〉Am is conjugacy separable for the abelian groups Ai.

Keywords

Primary: 20E2620E06secondary: 20F10Polygonal productsgeneralized free productsconjugacy separableresidually finite
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 39 , Issue 3 , 01 September 1996 , pp. 294 - 307
Copyright
Copyright © Canadian Mathematical Society 1996

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