Residually nilpotent one-relator groups with nontrivial centre-Reference-Cited by-同舟云学术

Residually nilpotent one-relator groups with nontrivial centre

Published:1996 Issue:1 Volume:124 Page:1-5
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

McCarron James

Abstract

We determine explicitly the residually nilpotent one-relator groups with nontrivial centre. We show also that, if G G is a one-relator group, then G G is residually nilpotent if, and only if, its central quotient G / Z ( G ) G/Z(G) is residually nilpotent.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-01/S0002-9939-96-03148-6/S0002-9939-96-03148-6.pdf

Reference4 articles.

1. [M] James McCarron, Residual nilpotence and one relator groups, Ph.D. Thesis, University of Waterloo, 1995, in preparation.

2. Infinite number fields with Noether ideal theories;MacLane, Saunders;Amer. J. Math.,1939

3. The isomorphism problem for one-relator groups with non-trivial centre;Pietrowski, Alfred;Math. Z.,1974

4. [KM] Goansu Kim and James McCarron, On residually 𝑝-finite one-relator groups, J. Algebra 169 (1994), 817–826. CMP 95:03

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