On diameter of the commuting graph of a full matrix algebra over a finite field

DOI10.1016/j.ffa.2015.08.002zbMath1327.05203OpenAlexW2190506878WikidataQ112881077 ScholiaQ112881077MaRDI QIDQ897322

Bojan Kuzma, Damjana Kokol Bukovšek, Polona Oblak, David Dolžan

Publication date: 17 December 2015

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2015.08.002

zbMATH Keywords

matrix algebrafinite fieldcommuting graph

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Commutativity of matrices (15A27) Finite fields (field-theoretic aspects) (12E20)

Related Items

Invertible matrices over a class of semirings ⋮ A matrix ring with commuting graph of maximal diameter ⋮ On the diameter of the commuting graph of the matrix ring over a centrally finite division ring ⋮ Distances on the commuting graph of the ring of real matrices ⋮ On the lower bound for diameter of commuting graph of prime-square sized matrices ⋮ On the super graphs and reduced super graphs of some finite groups ⋮ The commuting graph of the ring M ₃ (F _q ) ⋮ Commuting involution graphs for 4-dimensional projective symplectic groups ⋮ On a conjecture about the commuting graphs of finite matrix rings ⋮ On diameter of components in commuting graphs

Cites Work

• Unnamed Item
• Unnamed Item
• On groups of even order
• On the diameters of commuting graphs
• Reflexivity defect of spaces of linear operators
• On the diameter of the commuting graph of the full matrix ring over the real numbers
• Commuting graphs and extremal centralizers
• Commuting Graphs of Matrix Algebras
• On Commuting Graphs of Finite Matrix Rings
• Simple groups are characterized by their non-commuting graphs