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
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