The geometry of the consequences of a single Engel relator.

DOI10.1007/S11856-009-0085-YzbMath1192.20021OpenAlexW2053072235MaRDI QIDQ2655755

Donald J. Collins, Arye Juhász

Publication date: 26 January 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-009-0085-y

zbMATH Keywords

word problemfree groupsasphericityEngel relatorscancellation diagrams

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Commutator calculus (20F12) Engel conditions (20F45) Cancellation theory of groups; application of van Kampen diagrams (20F06) Algebraic geometry over groups; equations over groups (20F70)

Related Items (2)

Engel groups. II. ⋮ Engel groups. III.

Cites Work

• Unnamed Item
• Unnamed Item
• Engel groups. I
• Small cancellation theory with a weakened small cancellation hypothesis. I: The basic theory
• Spherical diagrams and identities among relations
• On relators and diagrams for groups with one defining relation

This page was built for publication: The geometry of the consequences of a single Engel relator.