The infinite simple group \(V\) of Richard J. Thompson: presentations by permutations

DOI10.4171/GGD/433zbMath1423.20026arXiv1511.02123MaRDI QIDQ1691967

Martyn Quick, Collin Bleak

Publication date: 25 January 2018

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.02123

zbMATH Keywords

permutationspresentationssimple groupstranspositionsgenerators and relationsThompson's groups

Mathematics Subject Classification ID

Simple groups (20E32) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65)

Related Items (7)

Automorphisms of shift spaces and the Higman--Thompson groups: the one-sided case ⋮ Some isomorphism results for Thompson-like groups \(V_n(G)\) ⋮ PERMUTATION-BASED PRESENTATIONS FOR BRIN’S HIGHER-DIMENSIONAL THOMPSON GROUPS ⋮ Infinite 32‐generated groups ⋮ Presentations of generalisations of Thompson's group \(V\) ⋮ Conjugate subgroups and overgroups of Vn ⋮ The word problem of the Brin-Thompson group is \textsf{coNP}-complete

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