Equalisers of sections
Dicks, Warren and Dunwoody, M.J. (1999) Equalisers of sections. Journal of Algebra, 216, (1), 20-39. (doi:10.1006/jabr.1998.7757)
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Official URL: http://dx.doi.org/10.1006/jabr.1998.7757
Description/Abstract
LetGandMbe groups, anda, b:G → G * Mgroup-theoretic sections of the natural projectionG * M → G. We use the Almost Stability Theorem, pro-trees, and new folding sequence techniques to show that ifGis finitely generated, then the equalizer ofaandbis a free factor ofG, which answers a question of G. M. Bergman.
| Item Type: | Article |
|---|---|
| ISSN: | 0021-8693 (print) |
| Uncontrolled Keywords: | free products of groups, equalizers, free factors, trees, almost stability |
| Related URLs: | http://dx.doi.org/10.1006/jabr.1998.7757 |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics |
| ePrint ID: | 29899 |
| URI: | http://eprints.soton.ac.uk/id/eprint/29899 |
| Deposited On: | 22 Dec 2006 |
| Last Modified: | 02 Mar 2012 13:28 |
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