Local quasiconvexity of groups acting on small cancellation complexes

Eduardo Martínez-Pedroza, Daniel T. Wise

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)2396-2405
Number of pages10
JournalJournal of Pure and Applied Algebra
Volume215
Issue number10
DOIs
StatePublished - Oct 2011
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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