On equalizers of sections

Warren Dicks; M. J. Dunwoody

doi:https://doi.org/10.1006/jabr.1998.7757

On equalizers of sections

Warren Dicks, M. J. Dunwoody

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

4 Citations (Scopus)

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 ifGis finitely generated, then the equalizer ofaandbis a free factor of G, which answers a question of G. M. Bergman. © 1999 Academic Press.

Original language	English
Pages (from-to)	20-39
Journal	Journal of Algebra
Volume	216
DOIs	https://doi.org/10.1006/jabr.1998.7757
Publication status	Published - 1 Jun 1999

Keywords

Almost stability
Equalizers
Free factors
Free products of groups
Trees

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https://doi.org/10.1006/jabr.1998.7757

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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 ifGis finitely generated, then the equalizer ofaandbis a free factor of G, which answers a question of G. M. Bergman. {\textcopyright} 1999 Academic Press.",

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AU - Dicks, Warren

AU - Dunwoody, M. J.

PY - 1999/6/1

Y1 - 1999/6/1

N2 - 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 ifGis finitely generated, then the equalizer ofaandbis a free factor of G, which answers a question of G. M. Bergman. © 1999 Academic Press.

AB - 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 ifGis finitely generated, then the equalizer ofaandbis a free factor of G, which answers a question of G. M. Bergman. © 1999 Academic Press.

KW - Almost stability

KW - Equalizers

KW - Free factors

KW - Free products of groups

KW - Trees

U2 - https://doi.org/10.1006/jabr.1998.7757

DO - https://doi.org/10.1006/jabr.1998.7757

M3 - Article

VL - 216

SP - 20

EP - 39

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -

On equalizers of sections

Abstract

Keywords

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