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 | |
Publication status | Published - 1 Jun 1999 |
Keywords
- Almost stability
- Equalizers
- Free factors
- Free products of groups
- Trees