Engel groups. I

DOI10.1007/BF02764726zbMath0708.20007OpenAlexW4243692504MaRDI QIDQ920203

Arye Juhász

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf02764726

zbMATH Keywords

presentationsfree groupsiterated commutatorsdiagramsEngel relatorsrelatively free \(n\)-Engel groups

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)

Related Items (6)

A SPELLING THEOREM FOR TORSION-FREE ONE-RELATOR PRESENTATIONS ⋮ The geometry of the consequences of a single Engel relator. ⋮ Engel groups. II. ⋮ Engel groups. III. ⋮ Unnamed Item ⋮ Embeddings of \(n\)-Engel marginal subgroups in compact groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Small cancellation theory with a weakened small cancellation hypothesis. I: The basic theory
• Spherical diagrams and identities among relations
• Generalized small cancellation theory and applications. I. The word problem
• Engelsche Elemente der Länge drei. (Engel elements of length three.)
• Engel groups. II.
• Engel groups. III.

This page was built for publication: Engel groups. I