Local quasiconvexity of groups acting on small cancellation complexes

Eduardo Martínez-Pedroza; Daniel T. Wise

doi:10.1016/j.jpaa.2010.12.019

Local quasiconvexity of groups acting on small cancellation complexes

Eduardo Martínez-Pedroza
, Daniel T. Wise

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	2396-2405
Number of pages	10
Journal	Journal of Pure and Applied Algebra
Volume	215
Issue number	10
DOIs	https://doi.org/10.1016/j.jpaa.2010.12.019
State	Published - Oct 2011
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jpaa.2010.12.019

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title = "Local quasiconvexity of groups acting on small cancellation complexes",

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.",

author = "Eduardo Mart{\'i}nez-Pedroza and Wise, \{Daniel T.\}",

year = "2011",

month = oct,

doi = "10.1016/j.jpaa.2010.12.019",

language = "الإنجليزيّة",

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journal = "Journal of Pure and Applied Algebra",

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AU - Martínez-Pedroza, Eduardo

AU - Wise, Daniel T.

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/79954842528

U2 - 10.1016/j.jpaa.2010.12.019

DO - 10.1016/j.jpaa.2010.12.019

M3 - مقالة

SN - 0022-4049

VL - 215

SP - 2396

EP - 2405

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 10

ER -

Local quasiconvexity of groups acting on small cancellation complexes

Abstract

ASJC Scopus subject areas

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