Abstract
Given a group acting cellularly and cocompactly on a simply connected 2-complex, we provide a criterion establishing that all finitely generated subgroups have quasiconvex orbits. This work generalizes the "perimeter method". As an application, we show that high-powered one-relator products A*B/«rn» are coherent if A and B are coherent.
Original language | English |
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Pages (from-to) | 2396-2405 |
Number of pages | 10 |
Journal | Journal of Pure and Applied Algebra |
Volume | 215 |
Issue number | 10 |
DOIs | |
State | Published - Oct 2011 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory