On Some arithmetic applications to the theory of symmetric groups

On Some arithmetic applications to the theory of symmetric groups

The work is devoted to some arithmetic applications to the theory of symmetric groups. Using the properties of congruences and classes of residues from number theory, the existence in the symmetric group Sn of degree n of cyclic, Abelian and non-Abelian subgroups respectively, of orders is establisn...

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Autori principali:	Pachev, U. M., Пачев, У. М., Dokhov, R. A., Дохов, Р. А.
Natura:	Статья
Lingua:	Russian
Pubblicazione:	State Lev Tolstoy Pedagogical University 2024
Soggetti:	Euler function Symmetric group Modulo congruence Permutation polynomial Prime divisor of cyclic subgroup order Subgroup order Quadratic residnes Substitution sign
Accesso online:	https://dspace.ncfu.ru/handle/123456789/29283
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