The integer group determinants for the symmetric group of degree four

DOI10.1216/RMJ-2019-49-4-1293zbMath1451.11115arXiv1806.10239OpenAlexW2970044851MaRDI QIDQ2323929

Christopher G. Pinner

Publication date: 13 September 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10239

zbMATH Keywords

symmetric groupMahler measuregroup determinantLind-Lehmer Constant

Mathematics Subject Classification ID

Polynomials in number theory (11C08) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Matrices of integers (15B36)

Related Items (4)

Prime power order circulant determinants ⋮ Integer circulant determinants of order 16 ⋮ Minimal group determinants for dicyclic groups ⋮ Integer circulant determinants of order 15

Cites Work

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• Progress on Olga Taussky-Todd's circulant problem
• On a problem suggested by Olga Taussky-Todd
• The Lind-Lehmer constant for cyclic groups of order less than 892,371,480
• The origin of representation theory
• Integer group determinants for small groups
• The origin of the theory of group characters
• Determinants of circulants of prime power order
• The Group Determinant Determines the Group
• The Lind-Lehmer constant for certain $p$-groups
• Minimal group determinants and the Lind–Lehmer problem for dihedral groups
• Lehmer’s problem for compact Abelian groups
• On the Lehmer constant of finite cyclic groups
• The Lind Lehmer constant for ℤ_{𝕡}ⁿ

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