Vol. 10, No. 3, 2021
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Minimal group determinants for dicyclic groups

Bishnu Paudel and Christopher Pinner
Vol. 10 (2021), No. 3, 235–248
DOI: 10.2140/moscow.2021.10.235
Abstract

We determine the minimal nontrivial integer group determinant for the dicyclic group of order 4n when n is odd. We also discuss the set of all integer group determinants for the dicyclic groups of order 4p.

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Keywords
group determinant, dicyclic group, Lind–Lehmer constant, Mahler measure
Mathematical Subject Classification
Primary: 11R06, 15B36
Secondary: 11B83, 11C08, 11C20, 11G50, 11R09, 11T22, 43A40
Milestones
Received: 9 February 2021
Revised: 14 June 2021
Accepted: 29 June 2021
Published: 13 September 2021
Authors
Bishnu Paudel
Department of Mathematics
Kansas State University
Manhattan, KS
United States
Christopher Pinner
Department of Mathematics
Kansas State University
Manhattan, KS
United States