Finite groups defined by presentations in which each defining relator involves exactly two generators

DOI10.1016/j.jpaa.2023.107499zbMath1530.20091MaRDI QIDQ6185279

Alun G. T. Williams, Mehmet Sefa Cihan

Publication date: 8 January 2024

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

rankdirected graphtournamentfinite groupdigraph grouppride group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Directed graphs (digraphs), tournaments (05C20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Efficient finite groups arising in the study of relative asphericity
• Einige endliche Gruppen mit drei Erzeugenden und drei Relationen
• On Mennicke groups of deficiency zero. I
• A class of digraph groups defined by balanced presentations
• Groups factorized by cyclic subgroups.
• Triangles of Baumslag–Solitar Groups
• Almost all Tournaments are Irreducible
• Groups with Presentations in Which Each Defining Relator Involves Exactly Two Generators
• Some two-generator one-relator non-Hopfian groups
• On a Class of Finitely Presented Groups
• On Mennicke Groups of Deficiency Zero II
• Some finite groups with zero deficiency
• The Fibonacci Groups
• A Factorization Theorem for Groups and Lie Algebras
• Finite three-generator groups with zero deficiency
• A New Class of 3-Generator Finite Groups of Deficiency Zero
• Geometric Invariants for Artin Groups
• The number of irreducible tournaments
• A Finitely Generated Infinite Simple Group

This page was built for publication: Finite groups defined by presentations in which each defining relator involves exactly two generators