Integer group determinants for \(\mathrm{C}_2^4\)

DOI10.1007/s11139-023-00727-zarXiv2209.12446OpenAlexW4377098962MaRDI QIDQ6185616

Naoya Yamaguchi, Yuka Yamaguchi

Publication date: 8 January 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.12446

zbMATH Keywords

cyclic groupgroup determinantinteger group determinant

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Forms of degree higher than two (11E76) Matrices, determinants in number theory (11C20)

Cites Work

• Progress on Olga Taussky-Todd's circulant problem
• The Lind-Lehmer constant for cyclic groups of order less than 892,371,480
• Integer group determinants for small groups
• The Group Determinant Determines the Group
• A Group Determinant Determines Its Group
• Minimal group determinants and the Lind–Lehmer problem for dihedral groups
• Integer circulant determinants of order 15
• Group Matrices, Group Determinants and Representation Theory
• The Lind Lehmer constant for ℤ_{𝕡}ⁿ
• Generalized group determinant gives a necessary and sufficient condition for a subset of a finite group to be a subgroup
• Remark on Laquer's theorem for circulant determinants
• Integer circulant determinants of order 16

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