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The Alperin Theorem for Periodic Groups with a Finite Sylow 2-Subgroup. / Liu, A. M.; Guo, W.; Li, B. J. et al.

In: Siberian Mathematical Journal, Vol. 65, No. 4, 07.2024, p. 804-809.

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

Harvard

Liu, AM, Guo, W, Li, BJ, Lytkina, DV & Mazurov, VD 2024, 'The Alperin Theorem for Periodic Groups with a Finite Sylow 2-Subgroup', Siberian Mathematical Journal, vol. 65, no. 4, pp. 804-809. https://doi.org/10.1134/S0037446624040074

APA

Liu, A. M., Guo, W., Li, B. J., Lytkina, D. V., & Mazurov, V. D. (2024). The Alperin Theorem for Periodic Groups with a Finite Sylow 2-Subgroup. Siberian Mathematical Journal, 65(4), 804-809. https://doi.org/10.1134/S0037446624040074

Vancouver

Liu AM, Guo W, Li BJ, Lytkina DV, Mazurov VD. The Alperin Theorem for Periodic Groups with a Finite Sylow 2-Subgroup. Siberian Mathematical Journal. 2024 Jul;65(4):804-809. doi: 10.1134/S0037446624040074

Author

Liu, A. M. ; Guo, W. ; Li, B. J. et al. / The Alperin Theorem for Periodic Groups with a Finite Sylow 2-Subgroup. In: Siberian Mathematical Journal. 2024 ; Vol. 65, No. 4. pp. 804-809.

BibTeX

@article{828fc16f29084dd191ce795bb9fb0f49,
title = "The Alperin Theorem for Periodic Groups with a Finite Sylow 2-Subgroup",
abstract = "We transfer the well-known Alperin theorem on fusion of the-elements of Sylow -subgroups of finite groups onto periodic groups with finite Sylow 2-subgroups for the case.The basis for this transfer is the famous Shunkov theoremon the local finiteness of a periodic group having an involution whose centralizer in is finite.",
keywords = "512.542, Sylow subgroup, involution, locally finite group, periodic group, trivial intersection",
author = "Liu, {A. M.} and W. Guo and Li, {B. J.} and Lytkina, {D. V.} and Mazurov, {V. D.}",
note = "Liu, Guo, and Li were supported by the National Natural Science Foundation of China (Grants nos. 12101165, 12171126, and 12371021); Lytkina was supported by the Russian Science Foundation (Grant no. 23\u201341\u201310003); and Mazurov was supported by the RAS Fundamental Research Program (Project FWNF\u20132022\u20130002).",
year = "2024",
month = jul,
doi = "10.1134/S0037446624040074",
language = "English",
volume = "65",
pages = "804--809",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "4",

}

RIS

TY - JOUR

T1 - The Alperin Theorem for Periodic Groups with a Finite Sylow 2-Subgroup

AU - Liu, A. M.

AU - Guo, W.

AU - Li, B. J.

AU - Lytkina, D. V.

AU - Mazurov, V. D.

N1 - Liu, Guo, and Li were supported by the National Natural Science Foundation of China (Grants nos. 12101165, 12171126, and 12371021); Lytkina was supported by the Russian Science Foundation (Grant no. 23\u201341\u201310003); and Mazurov was supported by the RAS Fundamental Research Program (Project FWNF\u20132022\u20130002).

PY - 2024/7

Y1 - 2024/7

N2 - We transfer the well-known Alperin theorem on fusion of the-elements of Sylow -subgroups of finite groups onto periodic groups with finite Sylow 2-subgroups for the case.The basis for this transfer is the famous Shunkov theoremon the local finiteness of a periodic group having an involution whose centralizer in is finite.

AB - We transfer the well-known Alperin theorem on fusion of the-elements of Sylow -subgroups of finite groups onto periodic groups with finite Sylow 2-subgroups for the case.The basis for this transfer is the famous Shunkov theoremon the local finiteness of a periodic group having an involution whose centralizer in is finite.

KW - 512.542

KW - Sylow subgroup

KW - involution

KW - locally finite group

KW - periodic group

KW - trivial intersection

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85198653771&origin=inward&txGid=f937d4d1e964039f884a212778ebbdc5

UR - https://www.mendeley.com/catalogue/3d7d8c96-8d44-3924-abca-e481f58a77bb/

U2 - 10.1134/S0037446624040074

DO - 10.1134/S0037446624040074

M3 - Article

VL - 65

SP - 804

EP - 809

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 4

ER -

ID: 60863615