- 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 ...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.4171/GGD/129
-
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- Journal:
- GROUPS GEOMETRY AND DYNAMICS
- Volume:
- 5
- Issue:
- 2
- Pages:
- 301-325
- Publication date:
- 2010-03-26
- DOI:
- EISSN:
-
1661-7215
- ISSN:
-
1661-7207
- URN:
-
uuid:6edea9ac-60b0-42fc-a631-ab6064ed149d
- Source identifiers:
-
132419
- Local pid:
- pubs:132419
- Language:
- English
- Keywords:
- Copyright date:
- 2010
- Notes:
- Final version. To appear in GGD volume dedicated to Fritz Grunewald
Journal article
On the difficulty of presenting finitely presentable groups
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