Automorphisms of a commuting graph of rank one upper triangular matrices

DOI10.13001/1081-3810.3064zbMath1353.05061OpenAlexW2574232274MaRDI QIDQ2956735

Jin Zhong, Shikun Ou

Publication date: 19 January 2017

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.13001/1081-3810.3064

zbMATH Keywords

groupsautomorphismscommuting graphscharacteristic subgraphs

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite fields and commutative rings (number-theoretic aspects) (11T99) Linear transformations, semilinear transformations (15A04) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Related Items (3)

On automorphism group of orthogonality graph of finite semisimple rings ⋮ The automorphism group and fixing number of the orthogonality graph of the full matrix ring ⋮ Automorphism group and fixing number of the orthogonality graph based on rank one upper triangular matrices

Cites Work

• A note on a conjecture about commuting graphs
• The group of automorphisms of a zero-divisor graph based on rank one upper triangular matrices
• Commuting graphs of matrices over semirings.
• On the diameters of commuting graphs
• Commuting graphs of full matrix rings over finite fields.
• On commuting graphs of semisimple rings
• Commuting graphs of some subsets in simple rings
• Commuting graphs and extremal centralizers
• The diameters of commuting graphs of linear groups and matrix rings over the integers modulo m
• On maximal distances in a commuting graph
• Commuting Graphs of Matrix Algebras
• On Commuting Graphs of Finite Matrix Rings

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