A finitely presented torsion-free simple group

DOI10.1515/JGT.2007.028zbMath1136.20026arXivmath/0411546MaRDI QIDQ5292701

Diego Rattaggi

Publication date: 22 June 2007

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411546

zbMATH Keywords

relationsgeneratorsfinitely presented groupstorsion-free simple groups

Mathematics Subject Classification ID

Simple groups (20E32) Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Groups acting on trees (20E08)

Related Items (12)

Buildings and Kac-Moody Groups ⋮ On hierarchical hyperbolicity of cubical groups ⋮ Three amalgams with remarkable normal subgroup structures. ⋮ Generalized polygons and star graphs of cyclic presentations of groups ⋮ Conjugator lengths in hierarchically hyperbolic groups ⋮ Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion‐freeness ⋮ Counting lattices in products of trees ⋮ Correction to the article ``Boundaries and automorphisms of hierarchically hyperbolic spaces ⋮ On the SQ-universality of groups with special presentations ⋮ Infinite series of quaternionic 1-vertex cube complexes, the doubling construction, and explicit cubical Ramanujan complexes ⋮ Drinfeld–Manin solutions of the Yang–Baxter equation coming from cube complexes ⋮ Concise presentations of direct products

Uses Software

• GAP

Cites Work

• The SQ-universality of some finitely presented groups
• Groups acting on trees: From local to global structure
• Lattices in product of trees

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