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On the Residual Finiteness of Certain Polygonal Products

Published online by Cambridge University Press:  20 November 2018

R. B. J. T. Allenby  and
C. Y. Tang
R. B. J. T. Allenby
Affiliation:
University of Leeds, Leeds, England
C. Y. Tang
Affiliation:
University of Waterloo, Waterloo, Ontario, Canada
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Abstract

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We give examples to show that unlike generalized free products of groups (g.f.p.) polygonal products of finitely generated (f.g.) nilpotent groups with cyclic amalgamations need not be residually finite (R) and polygonal products of finite p-groups with cyclic amalgamations need not be residually nilpotent. However, polygonal products f.g. abelian groups are R, and under certain conditions polygonal products of finite p-groups with cyclic amalgamations are R.

Keywords

20E0620E2620F1820F05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 1 , 01 March 1989 , pp. 11 - 17
Copyright
Copyright © Canadian Mathematical Society 1989

References

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