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Pinner, Christopher

The integer group determinants for the symmetric group of degree four. (English) Zbl 1451.11115

Rocky Mt. J. Math. 49, No. 4, 1293-1305 (2019).
Summary: For the symmetric group \(S_4\) we determine all the integer values taken by its group determinant when the matrix entries are integers.

Cited in 2 Documents

MSC:

11R06 PV-numbers and generalizations; other special algebraic numbers; Mahler measure
15B36 Matrices of integers
11C08 Polynomials in number theory

Keywords:

group determinant; symmetric group; Lind-Lehmer Constant; Mahler measure
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\textit{C. Pinner}, Rocky Mt. J. Math. 49, No. 4, 1293--1305 (2019; Zbl 1451.11115)
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References:

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