Generalized group determinant gives a necessary and sufficient condition for a subset of a finite group to be a subgroup-Reference-Cited by-同舟云学术

Generalized group determinant gives a necessary and sufficient condition for a subset of a finite group to be a subgroup

Published:2020-12-09 Issue:4 Volume:49 Page:1805-1811
ISSN:0092-7872
Container-title:Communications in Algebra
language:en
Short-container-title:Communications in Algebra

Author:

Yamaguchi Naoya¹^ORCID,Yamaguchi Yuka¹

Affiliation:

1. Faculty of Education, University of Miyazaki, 1-1 Gakuen Kibanadai-nishi, Miyazaki, Japan

Publisher

Informa UK Limited

Subject

Algebra and Number Theory

Link

https://www.tandfonline.com/doi/pdf/10.1080/00927872.2020.1853142

Reference17 articles.

1. Charles Whittlesey, C. (2001). Representation Theory of Finite Groups: From Frobenius to Brauer. New York: Springer, pp. 128–141.

2. The group determinant determines the group

3. Frobenius, F. G. (1968). Über die primfactoren der gruppendeterminante. Sitzungsberichte Der Königlich Preußischen Akademie Der Wissenschaften zu Berlin (1896), 1343–1382. Reprinted in Gesammelte Abhandlungen, Band III. Berlin: Springer-Verlag, pp. 38–77.

4. Frobenius, F. G. (1968). Über gruppencharaktere. Sitzungsberichte Der Königlich Preußischen Akademie Der Wissenschaften zu Berlin (1896), 985–1021. Reprinted in Gesammelte Abhandlungen, Band III. Berlin: Springer-Verlag, pp. 1–37.

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