A class of digraph groups defined by balanced presentations

DOI10.1016/j.jpaa.2020.106342zbMath1477.20063arXiv1806.10442OpenAlexW3005546047MaRDI QIDQ1985760

Alun G. T. Williams, Johannes Cuno

Publication date: 7 April 2020

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

Full work available at URL: https://arxiv.org/abs/1806.10442

zbMATH Keywords

rankbalanced presentationdeficiency zerograph group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Directed graphs (digraphs), tournaments (05C20)

Related Items (1)

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

Cites Work

• Unnamed Item
• 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
• Intersections of Magnus subgroups and embedding theorems for cyclically presented groups.
• Magnus intersections in one-relator products.
• Triangles of Baumslag–Solitar Groups
• Groups with Presentations in Which Each Defining Relator Involves Exactly Two Generators
• The Fibonacci Groups
• On a Group Presentation Due to Fox
• A New Class of 3-Generator Finite Groups of Deficiency Zero
• Free Groups and Handlebodies
• Intersections of conjugates of Magnus subgroups of one-relator groups
• On class field towers
• A Finitely Generated Infinite Simple Group

This page was built for publication: A class of digraph groups defined by balanced presentations