Sol Geometry Groups are not Asynchronously Automatic

DOI10.1112/plms/83.1.93zbMath1017.20024OpenAlexW2038219314MaRDI QIDQ2766411

Noel Brady

Publication date: 28 January 2002

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/83.1.93

zbMATH Keywords

word problemfundamental groupsautomatic groupslattices in Lie groupscombings of groups

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Geometric group theory (20F65) Fundamental group, presentations, free differential calculus (57M05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (8)

The Development of the Theory of Automatic Groups ⋮ Algorithms and topology of Cayley graphs for groups. ⋮ Geometry of the word problem for 3-manifold groups ⋮ Automaticity for graphs of groups ⋮ On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups ⋮ Classification of \(\mathrm{Sol}\) lattices ⋮ ON THE GROWTH OF GROUPS AND AUTOMORPHISMS ⋮ The spheres of Sol

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