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

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The minimal polynomials of powers of cycles in the ordinary representations of symmetric and alternating groups. / Yang, Nanying; Staroletov, Alexey M.

в: Journal of Algebra and its Applications, Том 20, № 11, 2150209, 01.11.2021.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{b04389efb66f42fdb53533c0bf2c8a7f,

title = "The minimal polynomials of powers of cycles in the ordinary representations of symmetric and alternating groups",

abstract = "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. ",

keywords = "alternating group, irreducible representation, minimal polynomial, Symmetric group, Irreducible representation, Alternating group, Minimal polynomial",

author = "Nanying Yang and Staroletov, {Alexey M.}",

note = "Funding Information: The first author was supported by NNSF grant of China (No. 11301227). Publisher Copyright: {\textcopyright} 2021 World Scientific Publishing Company.",

year = "2021",

month = nov,

day = "1",

doi = "10.1142/S0219498821502091",

language = "English",

volume = "20",

journal = "Journal of Algebra and its Applications",

issn = "0219-4988",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "11",

}

RIS

TY - JOUR

T1 - The minimal polynomials of powers of cycles in the ordinary representations of symmetric and alternating groups

AU - Yang, Nanying

AU - Staroletov, Alexey M.

PY - 2021/11/1

Y1 - 2021/11/1

N2 - 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.

AB - 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.

KW - alternating group

KW - irreducible representation

KW - minimal polynomial

KW - Symmetric group

KW - Irreducible representation

KW - Alternating group

KW - Minimal polynomial

UR - http://www.scopus.com/inward/record.url?scp=85095432204&partnerID=8YFLogxK

U2 - 10.1142/S0219498821502091

DO - 10.1142/S0219498821502091

M3 - Article

AN - SCOPUS:85095432204

VL - 20

JO - Journal of Algebra and its Applications

JF - Journal of Algebra and its Applications

SN - 0219-4988

IS - 11

M1 - 2150209

ER -

ID: 25998034