The minimal polynomials of powers of cycles in the ordinary representations of symmetric and alternating groups

The minimal polynomials of powers of cycles in the ordinary representations of symmetric and alternating groups Full article

Journal

Journal of Algebra and its Applications
ISSN: 0219-4988

Output data

Year: 2021, Volume: 20, Number: 11, Article number : 2150209, Pages count : DOI: 10.1142/S0219498821502091

Tags

Alternating group; Irreducible representation; Minimal polynomial; Symmetric group

Authors

Yang N. ¹ , Staroletov A.M. ^2,3

Affiliations

1	School of Science, Jiangnan University, Wuxi, 214122, China
2	Sobolev Institute of Mathematics, Koptyuga 4, Novosibirsk, 630090, Russian Federation
3	Novosibirsk State University, Pirogova 1, Novosibirsk, 630090, Russian Federation

Denote the alternating and symmetric groups of degree n by An and Sn, respectively. Consider a permutation σ Sn, all of whose nontrivial cycles are of the same length. We find the minimal polynomials of σ in the ordinary irreducible representations of An and Sn. © 2021 World Scientific Publishing Company.

Yang N. , Staroletov A.M.
The minimal polynomials of powers of cycles in the ordinary representations of symmetric and alternating groups
Journal of Algebra and its Applications. 2021. V.20. N11. 2150209 . DOI: 10.1142/S0219498821502091 WOS Scopus OpenAlex

Web of science:	WOS:000708911100006
Scopus:	2-s2.0-85095432204
OpenAlex:	W3041529542

DB	Citing
Scopus	1
OpenAlex	1
Web of science	1