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The Strong -Sylow Theorem for the Groups PSL. / Revin, D. O.; Shepelev, V. D.

In: Siberian Mathematical Journal, Vol. 65, No. 5, 25.09.2024, p. 1187-1194.

Research output: Contribution to journal › Article › peer-review

Harvard

Revin, DO & Shepelev, VD 2024, 'The Strong -Sylow Theorem for the Groups PSL', Siberian Mathematical Journal, vol. 65, no. 5, pp. 1187-1194. https://doi.org/10.1134/S0037446624050173

APA

Revin, D. O., & Shepelev, V. D. (2024). The Strong -Sylow Theorem for the Groups PSL. Siberian Mathematical Journal, 65(5), 1187-1194. https://doi.org/10.1134/S0037446624050173

Vancouver

Revin DO, Shepelev VD. The Strong -Sylow Theorem for the Groups PSL. Siberian Mathematical Journal. 2024 Sept 25;65(5):1187-1194. doi: 10.1134/S0037446624050173

Author

Revin, D. O. ; Shepelev, V. D. / The Strong -Sylow Theorem for the Groups PSL. In: Siberian Mathematical Journal. 2024 ; Vol. 65, No. 5. pp. 1187-1194.

BibTeX

@article{2a69e319b80d4593af5b84fb9ddffe50,
title = "The Strong -Sylow Theorem for the Groups PSL",
abstract = "Let be a set of primes. A finite group is a -group if allprime divisors of the order of belong to. Following Wielandt,the -Sylow theorem holds for if all maximal-subgroups of are conjugate; if the -Sylow theorem holds forevery subgroup of then the strong -Sylow theorem holdsfor. The strong -Sylow theorem is known to hold for if and only if it holds for every nonabelian composition factor of.In 1979, Wielandt asked which finite simple nonabelian groups obey the strong -Sylow theorem.By now the answer isknown for sporadic and alternating groups. We give somearithmetic criterion for the validity of the strong -Sylow theorem forthe groups.",
keywords = "-Sylow theorem, 512.542, projective special linear group, strong -Sylow theorem",
author = "Revin, {D. O.} and Shepelev, {V. D.}",
year = "2024",
month = sep,
day = "25",
doi = "10.1134/S0037446624050173",
language = "English",
volume = "65",
pages = "1187--1194",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "5",

}

RIS

TY - JOUR

T1 - The Strong -Sylow Theorem for the Groups PSL

AU - Revin, D. O.

AU - Shepelev, V. D.

PY - 2024/9/25

Y1 - 2024/9/25

N2 - Let be a set of primes. A finite group is a -group if allprime divisors of the order of belong to. Following Wielandt,the -Sylow theorem holds for if all maximal-subgroups of are conjugate; if the -Sylow theorem holds forevery subgroup of then the strong -Sylow theorem holdsfor. The strong -Sylow theorem is known to hold for if and only if it holds for every nonabelian composition factor of.In 1979, Wielandt asked which finite simple nonabelian groups obey the strong -Sylow theorem.By now the answer isknown for sporadic and alternating groups. We give somearithmetic criterion for the validity of the strong -Sylow theorem forthe groups.

AB - Let be a set of primes. A finite group is a -group if allprime divisors of the order of belong to. Following Wielandt,the -Sylow theorem holds for if all maximal-subgroups of are conjugate; if the -Sylow theorem holds forevery subgroup of then the strong -Sylow theorem holdsfor. The strong -Sylow theorem is known to hold for if and only if it holds for every nonabelian composition factor of.In 1979, Wielandt asked which finite simple nonabelian groups obey the strong -Sylow theorem.By now the answer isknown for sporadic and alternating groups. We give somearithmetic criterion for the validity of the strong -Sylow theorem forthe groups.

KW - -Sylow theorem

KW - 512.542

KW - projective special linear group

KW - strong -Sylow theorem

UR - https://www.mendeley.com/catalogue/d880aedd-19e0-3815-be2f-7b57297b1e87/

U2 - 10.1134/S0037446624050173

DO - 10.1134/S0037446624050173

M3 - Article

VL - 65

SP - 1187

EP - 1194

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 5

ER -

ID: 60797873