Remark on Laquer's theorem for circulant determinants

نویسندگان
Yamaguchi, Naoya ID 1
Yamaguchi, Yuka ID 2

1 Faculty of Education, University of Miyazaki, Miyazaki, Japan

2 Faculty of Education, University of Miyazaki, Miyazaki, Japan

doi
10.22108/ijgt.2022.133217.1791
چکیده

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.

کلیدواژه‌ها
Integer circulant determinant, Integer group determinant, Circulant determinant, group determinant, Dedekind' s theorem