Remark on Laquer's theorem for circulant determinants

Abstract

Olga Taussky-Todd suggested the problem of determining the possible values of 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.

Keywords

• integer circulant determinant
• integer group determinant
• circulant determinant
• group determinant
• dedekind' s theorem