Isomorphism versus commensurability for a class of finitely presented groups-Reference-Cited by-同舟云学术

Isomorphism versus commensurability for a class of finitely presented groups

Published:2014-03-01 Issue:2 Volume:17 Page:
ISSN:1433-5883
Container-title:Journal of Group Theory
language:
Short-container-title:

Author:

Arzhantseva Goulnara,Lafont Jean-François,Minasyan Ashot

Abstract

Abstract.We construct a class of finitely presented groups within which the isomorphism problem is solvable but the commensurability problem is unsolvable. Conversely, we construct a class of finitely presented groups within which the commensurability problem is solvable but the isomorphism problem is unsolvable. These are the first examples of such a contrastive complexity behavior with respect to the isomorphism problem.

Funder

ERC

Swiss NSF

NSF

Alfred P. Sloan research fellowship

EPSRC

Publisher

Walter de Gruyter GmbH

Subject

Algebra and Number Theory

Link

http://www.degruyter.com/view/j/jgt.2014.17.issue-2/jgt-2013-0050/jgt-2013-0050.pdf

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