Hydra groups.

DOI10.4171/CMH/294zbMath1305.20052arXiv1002.1945MaRDI QIDQ373477

Will Dison, Timothy R. Riley

Publication date: 17 October 2013

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1945

zbMATH Keywords

presentationsone-relator groupsfree-by-cyclic groupsDehn functionshydra groupsAckermann functionsfree subgroups of finite ranksubgroup distortion

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (13)

Stallings' folds for cube complexes ⋮ List of problems on discrete subgroups of Lie groups and their computational aspects ⋮ Hyperbolic hydra. ⋮ Taming the hydra: The word problem and extreme integer compression ⋮ Hydra group doubles are not residually finite. ⋮ Unnamed Item ⋮ CAT(0) spaces with polynomial divergence of geodesics ⋮ Algorithmically complex residually finite groups ⋮ Dehn functions of subgroups of right-angled Artin groups ⋮ Vertex separators, chordality and virtually free groups ⋮ Residual properties of groups defined by basic commutators. ⋮ Divergence in right-angled Coxeter groups ⋮ Compression techniques in group theory

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