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On the difficulty of presenting finitely presentable groups

Abstract:: We exhibit classes of groups in which the word problem is uniformly solvable but in which there is no algorithm that can compute finite presentations for finitely presentable subgroups. Direct products of hyperbolic groups, groups of integer matrices, and right-angled Coxeter groups form such classes. We discuss related classes of groups in which there does exist an algorithm to compute finite presentations for finitely presentable subgroups. We also construct a finitely presented group that ...
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Publication status:: Published

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APA Style

Bridson, M., & Wilton, H. (2010). On the difficulty of presenting finitely presentable groups. GROUPS GEOMETRY AND DYNAMICS, 5(2), 301–325.

MLA Style

Bridson, M., and H. Wilton. “On the Difficulty of Presenting Finitely Presentable Groups.” GROUPS GEOMETRY AND DYNAMICS, vol. 5, no. 2, 2010, pp. 301–25.

Chicago Style

Bridson, M, and H Wilton. 2010. “On the Difficulty of Presenting Finitely Presentable Groups.” GROUPS GEOMETRY AND DYNAMICS 5 (2): 301–25.
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Publisher copy:: 10.4171/GGD/129

Authors

+ Bridson, M More by this author

Institution:

University of Oxford

Division:

MPLS

Department:

Mathematical Institute

Role:

Author

+ Wilton, H More by this author

Role:

Author

Bibliographic Details

Journal:: GROUPS GEOMETRY AND DYNAMICS
Volume:: 5
Issue:: 2
Pages:: 301-325
Publication date:: 2010-03-26
DOI:: 10.4171/GGD/129
EISSN:: 1661-7215
ISSN:: 1661-7207

Item Description

Language:: English
Keywords:: math.GR

20F10 (20F65, 20F67)
Pubs id:: pubs:132419
UUID:: uuid:6edea9ac-60b0-42fc-a631-ab6064ed149d
Local pid:: pubs:132419
Source identifiers:: 132419
Deposit date:: 2012-12-19

Terms of use

Copyright date:: 2010
Notes:: Final version. To appear in GGD volume dedicated to Fritz Grunewald

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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