Remark on Laquer's theorem for circulant determinants

DOI10.22108/ijgt.2022.133217.1791OpenAlexW4323073053MaRDI QIDQ5876638

Yuka Yamaguchi, Naoya Yamaguchi

Publication date: 1 February 2023

Full work available at URL: https://arxiv.org/abs/2202.06952

zbMATH Keywords

group determinantcirculant determinant

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Polynomials in number theory (11C08) Matrices, determinants in number theory (11C20)

Related Items (3)

Prime power order circulant determinants ⋮ Integer group determinants for \(\mathrm{C}_2^4\) ⋮ Integer group determinants for three of the non-abelian groups of order 16

Cites Work

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• Progress on Olga Taussky-Todd's circulant problem
• On a problem suggested by Olga Taussky-Todd
• The origin of representation theory
• Integer group determinants for small groups
• The origin of the theory of group characters
• On the group determinant
• Minimal group determinants and the Lind–Lehmer problem for dihedral groups
• An extension and a generalization of Dedekind's theorem
• Group Matrices, Group Determinants and Representation Theory

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