English

Remark on Laquer's theorem for circulant determinants

Representation Theory 2023-03-03 v5 Group Theory

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

Cite

@article{arxiv.2202.06952,
  title  = {Remark on Laquer's theorem for circulant determinants},
  author = {Naoya Yamaguchi and Yuka Yamaguchi},
  journal= {arXiv preprint arXiv:2202.06952},
  year   = {2023}
}
R2 v1 2026-06-24T09:36:02.672Z