Conjugacy separability of certain generalized free products of nilpotent groups
- Resource Type
- Article
- Authors
- 김관수; C. Y. Tang
- Source
- 대한수학회지, 50(4), pp.813-828 Jul, 2013
- Subject
- 수학
- Language
- English
- ISSN
- 2234-3008
0304-9914
It is known that generalized free products of finitely gen-erated nilpotent groups are conjugacy separable when the amalgamatedsubgroups are cyclic or central in both factor groups. However, those gen-eralized free products may not be conjugacy separable when the amalga-mated subgroup is a direct product of two infinite cycles. In this paper weshow that generalized free products of finitely generated nilpotent groupsare conjugacy separable when the amalgamated subgroup is × D,where D is in the center of both factors.