Topographs and groups

DOI10.1016/0022-4049(92)90068-QzbMath0759.05045OpenAlexW2101827668MaRDI QIDQ1196808

Sasho Kalajdzievski

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1016/0022-4049(92)90068-q

zbMATH Keywords

presentationCayley graphfree groupautomorphism groupssymmetric groupdihedral groupsquotient groupgenerating setaltitudetopograph

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Cites Work

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• On free groups and their automorphisms
• The group generated by \(x\mapsto x+1\) and \(x\mapsto x^ p\) is free
• Actions of finite groups of graphs and related automorphisms of free groups
• Some finitely presented subgroups of the automorphism group of a free group
• A presentation of the symmetric group based on unique irredundant nondecreasing factorization
• On equivalent sets of elements in a free group
• On Whitehead’s algorithm
• The Automorphism Groups of Finite Extensions of Free Groups
• A Presentation for the Automorphism Group of a Free Group of Finite Rank
• Equivalence of Elements Under Automorphisms of a Free Group
• On Certain Sets of Elements in a Free Group

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