Remark on Laquer's theorem for circulant determinants

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Yamaguchi Naoya; Yamaguchi Yuka

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2023 | Volume:12 | Issue:4 Page(s): 265-269

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Information Journal Paper

Title

Remark on Laquer's theorem for circulant determinants

Author(s)

Yamaguchi Naoya | Yamaguchi Yuka | Issue Writer Certificate

Keywords

Integer circulant determinant

Integer group determinant

Circulant determinant

group determinant

Dedekind' s theorem

Abstract

Olga Taussky-Todd suggested the problem of determining the possible values of circulant determinant/fa?page=1&sort=1&ftyp=all&fgrp=all&fyrs=all" target="_blank">integer circulant determinants. To solve a special case of the problem, Laquer gave a factorization of circulant determinants. In this paper, we give a modest generalization of Laquer's theorem. Also, we give an application of the generalization to integer group determinants.

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