The integer group determinants for the symmetric group of degree four

Christopher Pinner

doi:10.1216/RMJ-2019-49-4-1293

Abstract

For the symmetric group $S_4$ we determine all the integer values taken by its group determinant when the matrix entries are integers.

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Christopher Pinner. "The integer group determinants for the symmetric group of degree four." Rocky Mountain J. Math. 49 (4) 1293 - 1305, 2019. https://doi.org/10.1216/RMJ-2019-49-4-1293

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Published: 2019

First available in Project Euclid: 29 August 2019

zbMATH: 07104718

MathSciNet: MR3998922

Digital Object Identifier: 10.1216/RMJ-2019-49-4-1293

Subjects:

Primary: 11R06 , 15B36

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

Keywords: group determinant , Lind-Lehmer constant , Mahler measure , Symmetric group

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