Periodic Groups Saturated with Finite Simple Symplectic Groups of Dimension 6 over Fields of Odd Characteristics

Standard

Periodic Groups Saturated with Finite Simple Symplectic Groups of Dimension 6 over Fields of Odd Characteristics. / Lytkina, D. V.; Mazurov, V. D.

In: Siberian Mathematical Journal, Vol. 63, No. 6, 11.2022, p. 1117-1120.

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

BibTeX

@article{293a4c88cc00424fb7bee2b1c6e5730e,

title = "Periodic Groups Saturated with Finite Simple Symplectic Groups of Dimension 6 over Fields of Odd Characteristics",

abstract = "We prove that a periodic group is locally finite, if its every finite subgroup liesin a subgroup isomorphic to a simple symplectic group of dimension 6 oversome field of odd order and the centralizer of every involution of this groupis locally finite. Moreover, such group is isomorphic to a simple symplecticgroup of dimension 6 over a suitable locally finite field of odd characteristic.",

keywords = "512.542, group of Lie type, group saturated with a set of groups, locally finite group, periodic group",

author = "Lytkina, {D. V.} and Mazurov, {V. D.}",

note = "Funding Information: The work was supported by the Russian Science Foundation (Grant no. 19–11–00039). Publisher Copyright: {\textcopyright} 2022, Pleiades Publishing, Ltd.",

year = "2022",

month = nov,

doi = "10.1134/S0037446622060118",

language = "English",

volume = "63",

pages = "1117--1120",

journal = "Siberian Mathematical Journal",

issn = "0037-4466",

publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",

number = "6",

}

RIS

TY - JOUR

T1 - Periodic Groups Saturated with Finite Simple Symplectic Groups of Dimension 6 over Fields of Odd Characteristics

AU - Lytkina, D. V.

AU - Mazurov, V. D.

PY - 2022/11

Y1 - 2022/11

N2 - We prove that a periodic group is locally finite, if its every finite subgroup liesin a subgroup isomorphic to a simple symplectic group of dimension 6 oversome field of odd order and the centralizer of every involution of this groupis locally finite. Moreover, such group is isomorphic to a simple symplecticgroup of dimension 6 over a suitable locally finite field of odd characteristic.

AB - We prove that a periodic group is locally finite, if its every finite subgroup liesin a subgroup isomorphic to a simple symplectic group of dimension 6 oversome field of odd order and the centralizer of every involution of this groupis locally finite. Moreover, such group is isomorphic to a simple symplecticgroup of dimension 6 over a suitable locally finite field of odd characteristic.

KW - 512.542

KW - group of Lie type

KW - group saturated with a set of groups

KW - locally finite group

KW - periodic group

UR - http://www.scopus.com/inward/record.url?scp=85143601640&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/3bfdefc4-c504-3bb1-8797-4c1b9873961a/

U2 - 10.1134/S0037446622060118

DO - 10.1134/S0037446622060118

M3 - Article

AN - SCOPUS:85143601640

VL - 63

SP - 1117

EP - 1120

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 6

ER -

ID: 40814127