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Fibre products, non-positive curvature, and decision problems

Abstract:

We give a criterion for fibre products to be finitely presented and use it as the basis of a construction that encodes the pathologies of finite group presentations into pairs of groups P ⊂ G where G is a product of hyperbolic groups and P is a finitely presented subgroup. This enables us to prove that there is a finitely presented subgroup P in a biautomatic group G such that the generalized word problem for P ⊂ G is unsolvable and P has an unsolvable conjugacy problem. An additional constru...

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Publication status:
Published

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Publisher copy:
10.1007/s000140050136

Authors


Baumslag, G More by this author
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Miller, CF More by this author
Journal:
COMMENTARII MATHEMATICI HELVETICI
Volume:
75
Issue:
3
Pages:
457-477
Publication date:
2000
DOI:
ISSN:
0010-2571
URN:
uuid:f190b768-1d4e-4b1f-ace1-305dd0915eab
Source identifiers:
13606
Local pid:
pubs:13606

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