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
20-39
Dicks, Warren
2eb9d14c-93a0-4851-9aa6-eb2c50cab93a
Dunwoody, M.J.
ab9cba4b-1c90-4353-ad26-2b497d25cce3
1999
Dicks, Warren
2eb9d14c-93a0-4851-9aa6-eb2c50cab93a
Dunwoody, M.J.
ab9cba4b-1c90-4353-ad26-2b497d25cce3
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.
This record has no associated files available for download.
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 Mar 2024 07:36
Export record
Altmetrics
Contributors
Author:
Warren Dicks
Author:
M.J. Dunwoody
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics