✦ LIBER ✦

On Equalizers of Sections

✍ Scribed by Warren Dicks; M.J Dunwoody

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 157 KB
Volume: 216
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7757

No coin nor oath required. For personal study only.

✦ Synopsis

Let G and M be groups, and a, b: G ª G) M group-theoretic sections of the natural projection G) M ª 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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