Number of terms in the group determinant

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Number of terms in the group determinant

Yamaguchi, Naoya; Yamaguchi, Yuka

Examples and counterexamples, November 2023, 2023-11-00, 2023-11-01, Volume: 3

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In this paper, we prove that when the number of terms in the group determinant of order odd prime p is divided by p, the remainder is 1. In addition, we give a table of the number of terms in kth power of the group determinant of the cyclic group of order n for n≤10 and k≤6, and also give a table of one for every group of order at most 15. These tables raise some questions for us about the number of terms in the group determinants.

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