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2021 Minimal group determinants for dicyclic groups
Bishnu Paudel, Christopher Pinner
Mosc. J. Comb. Number Theory 10(3): 235-248 (2021). 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.

Citation

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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

Information

Received: 9 February 2021; Revised: 14 June 2021; Accepted: 29 June 2021; Published: 2021
First available in Project Euclid: 15 November 2021

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

Rights: Copyright © 2021 Mathematical Sciences Publishers

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Vol.10 • No. 3 • 2021
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