The Strong π-Sylow Theorem for Finite Simple Groups of Lie Type of Rank 1

The Strong π-Sylow Theorem for Finite Simple Groups of Lie Type of Rank 1 Full article

Journal

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Output data

Year: 2025, Volume: 66, Number: 4, Pages: 1049-1062 Pages count : 14 DOI: 10.1134/s0037446625040159

Funding (1)

Russian Science Foundation

24-21-00163

Let π be a set of primes. A finite group is said to be a π-group if all prime divisors of its order belong to π. Following Wielandt, we say that for a finite group G the π-Sylow theorem holds if all maximal π-subgroups of G are conjugate; if the π-Sylow theorem holds for every subgroup of G, then G is said to satisfy the strong π-Sylow theorem. The question of which finite nonabelian simple groups satisfy the strong π-Sylow theorem was posed by Wielandt in 1979. This paper completes an arithmetic description of the groups of Lie type of rank 1 that satisfy the strong π-Sylow theorem

Shepelev V.D.
The Strong π-Sylow Theorem for Finite Simple Groups of Lie Type of Rank 1
Siberian Mathematical Journal. 2025. V.66. N4. P.1049-1062. DOI: 10.1134/s0037446625040159 WOS Scopus РИНЦ OpenAlex

Шепелев В.Д.
Сильная π-теорема Силова для простых групп лиева типа ранга 1
Сибирский математический журнал. 2025. Т.66. №4. С.755–771. DOI: 10.33048/smzh.2025.66.415 РИНЦ MathNet

Submitted:	Feb 20, 2025
Accepted:	May 26, 2025
Published print:	Jul 23, 2025
Published online:	Jul 23, 2025

Web of science:	WOS:001535187000015
Scopus:	2-s2.0-105011257062
Elibrary:	82650986
OpenAlex:	W4412610079

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