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Cyclic Subgroup Separability of Generalized Free Products

Published online by Cambridge University Press:  20 November 2018

Goansu Kim
Goansu Kim*
Affiliation:
Department of Mathematics Kangnung National University Kangnung, 210-702 Republic of Korea
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Abstract

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We derive a criterion for a generalized free product of groups to be cyclic subgroup separable. We see that most of the known results for cyclic subgroup separability are covered by this criterion, and we apply the criterion to polygonal products of groups. We show that a polygonal product of finitely generated abelian groups, amalgamating cyclic subgroups, is cyclic subgroup separable.

Keywords

20E2620E06generalized free productspolygonal productsresidually finitecyclic subgroup separable (πc).
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 3 , 01 September 1993 , pp. 296 - 302
Copyright
Copyright © Canadian Mathematical Society 1993

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