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Subgroup Separability of Generalized Free Products of Free-By-Finite Groups

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 England
C. Y. Tang
Affiliation:
University of Waterloo Waterloo, Ontario
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Abstract

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We prove that generalized free products of finitely generated free-byfinite groups amalgamating a cyclic subgroup are subgroup separable. From this it follows that if where t ≥ 1 and u, v are words on {a1,...,am} and {b1,...,bn} respectively then G is subgroup separable thus generalizing a result in [9] that such groups have solvable word problems.

Keywords

20E0620E2620F0520F10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 4 , 01 December 1993 , pp. 385 - 389
Copyright
Copyright © Canadian Mathematical Society 1993

References

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