Formations of Finite Groups in Polynomial Time: the $\mathfrak{F}$-Radical

Autor:	Murashka, Viachaslau I.
Rok vydání:	2024
Předmět:	Mathematics - Group Theory 20D10 20B40
Druh dokumentu:	Working Paper
Popis:	For a Baer-local (composition) Fitting formation $\mathfrak{F}$ the polynomial time algorithm for the computation of the $\mathfrak{F}$-radical of a permutation group is suggested. In particular it is showed how one can compute the $\mathfrak{F}$-radical in case when $\mathfrak{F}$ is a primitive saturated formation of soluble groups. Moreover, the polynomial time algorithms for the computation of different lengthes associated with a group are presented.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.12720 Zobrazit plný text záznamu View this record from Arxiv