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Equalisers of sections

Equalisers of sections
Equalisers of sections
Let G and M be groups, and a, b: G → G * M group-theoretic sections of the natural projection G * M → G. We use the Almost Stability Theorem, pro-trees, and new folding sequence techniques to show that if G is finitely generated, then the equalizer of a and b is a free factor of G, which answers a question of G. M. Bergman.
free products of groups, equalizers, free factors, trees, almost stability
0021-8693
20-39
Dicks, Warren
2eb9d14c-93a0-4851-9aa6-eb2c50cab93a
Dunwoody, M.J.
ab9cba4b-1c90-4353-ad26-2b497d25cce3
Dicks, Warren
2eb9d14c-93a0-4851-9aa6-eb2c50cab93a
Dunwoody, M.J.
ab9cba4b-1c90-4353-ad26-2b497d25cce3

Dicks, Warren and Dunwoody, M.J. (1999) Equalisers of sections. Journal of Algebra, 216 (1), 20-39. (doi:10.1006/jabr.1998.7757).

Record type: Article

Abstract

Let G and M be groups, and a, b: G → G * M group-theoretic sections of the natural projection G * M → G. We use the Almost Stability Theorem, pro-trees, and new folding sequence techniques to show that if G is finitely generated, then the equalizer of a and b is a free factor of G, which answers a question of G. M. Bergman.

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More information

Published date: 1999
Keywords: free products of groups, equalizers, free factors, trees, almost stability

Identifiers

Local EPrints ID: 29899
URI: http://eprints.soton.ac.uk/id/eprint/29899
ISSN: 0021-8693
PURE UUID: 9da2afe9-c07a-4296-a0c1-1dd3552afeae

Catalogue record

Date deposited: 22 Dec 2006
Last modified: 15 Jul 2019 19:08

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