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Remark on Laquer's theorem for circulant determinants | ||
International Journal of Group Theory | ||
مقاله 5، دوره 12، شماره 4، اسفند 2023، صفحه 265-269 اصل مقاله (373.07 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22108/ijgt.2022.133217.1791 | ||
نویسندگان | ||
Naoya Yamaguchi؛ Yuka Yamaguchi* | ||
Faculty of Education, University of Miyazaki, Miyazaki, Japan | ||
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 | ||
مراجع | ||
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[12] Ch. Pinner and Ch. Smyth, Integer group determinants for small groups, Ramanujan J., 51 (2020) 421–453.
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[14] N. Yamaguchi, An extension and a generalization of Dedekind’s theorem, Int. J. Group Theory, 6 (2017) 5–11. | ||
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