Minimal group determinants for dicyclic groups

Bishnu Paudel; Christopher Pinner

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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Bishnu Paudel. Christopher Pinner. "Minimal group determinants for dicyclic groups." Mosc. J. Comb. Number Theory 10 (3) 235 - 248, 2021. https://doi.org/10.2140/moscow.2021.10.235

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Received: 9 February 2021; Revised: 14 June 2021; Accepted: 29 June 2021; Published: 2021

First available in Project Euclid: 15 November 2021

MathSciNet: MR4313424

zbMATH: 1479.11184

Digital Object Identifier: 10.2140/moscow.2021.10.235

Subjects:

Primary: 11R06 , 15B36

Secondary: 11B83 , 11C08 , 11C20 , 11G50 , 11R09 , 11T22 , 43A40

Keywords: dicyclic group , group determinant , Lind–Lehmer constant , Mahler measure

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