Minimal group determinants and the Lind–Lehmer problem for dihedral groups

DOI10.4064/aa180708-30-8zbMath1434.11212arXiv1802.07336OpenAlexW2963705448MaRDI QIDQ4614201

Ton Boerkoel, Christopher G. Pinner

Publication date: 30 January 2019

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.07336

zbMATH Keywords

dihedral groupMahler measuregroup determinantLind-Lehmer constant

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Special sequences and polynomials (11B83) Polynomials (irreducibility, etc.) (11R09) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Matrices of integers (15B36) Cyclotomy (11T22)

Related Items (9)

Lehmer’s problem for arbitrary groups ⋮ Remark on Laquer's theorem for circulant determinants ⋮ 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 ⋮ Minimal group determinants for dicyclic groups ⋮ Integer circulant determinants of order 15 ⋮ Integer group determinants for small groups ⋮ The integer group determinants for the symmetric group of degree four

Cites Work

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