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Periodic Groups Saturated with Finite Simple Unitary Groups of Degree 4 over Finite Fields of Odd Characteristic. / Ma, X. j.; Mao, Y. m.; Lytkina, D. v. et al.

In: Siberian Mathematical Journal, Vol. 65, No. 5, 01.09.2024, p. 1165-1169.

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

Harvard

Ma, XJ, Mao, YM, Lytkina, DV & Mazurov, VD 2024, 'Periodic Groups Saturated with Finite Simple Unitary Groups of Degree 4 over Finite Fields of Odd Characteristic', Siberian Mathematical Journal, vol. 65, no. 5, pp. 1165-1169. https://doi.org/10.1134/S003744662405015X

APA

Ma, X. J., Mao, Y. M., Lytkina, D. V., & Mazurov, V. D. (2024). Periodic Groups Saturated with Finite Simple Unitary Groups of Degree 4 over Finite Fields of Odd Characteristic. Siberian Mathematical Journal, 65(5), 1165-1169. https://doi.org/10.1134/S003744662405015X

Vancouver

Ma XJ, Mao YM, Lytkina DV, Mazurov VD. Periodic Groups Saturated with Finite Simple Unitary Groups of Degree 4 over Finite Fields of Odd Characteristic. Siberian Mathematical Journal. 2024 Sept 1;65(5):1165-1169. doi: 10.1134/S003744662405015X

Author

Ma, X. j. ; Mao, Y. m. ; Lytkina, D. v. et al. / Periodic Groups Saturated with Finite Simple Unitary Groups of Degree 4 over Finite Fields of Odd Characteristic. In: Siberian Mathematical Journal. 2024 ; Vol. 65, No. 5. pp. 1165-1169.

BibTeX

@article{d0c83808186f42caaf0fd2a71ba82f47,
title = "Periodic Groups Saturated with Finite Simple Unitary Groups of Degree 4 over Finite Fields of Odd Characteristic",
abstract = "Suppose that is some nonempty set of finite groups. A group issaturated with groups from if each finite subgroup of liesin a subgroup isomorphic to an element of.We prove that a periodic group with locally finite centralizers of involutionswhich is saturated with simple unitary groups of degree 4 over finite fields of fixed odd characteristic is isomorphic to a simple unitary group of degree 4 over some locally finite field of characteristic.",
author = "Ma, {X. j.} and Mao, {Y. m.} and Lytkina, {D. v.} and Mazurov, {V. d.}",
year = "2024",
month = sep,
day = "1",
doi = "10.1134/S003744662405015X",
language = "English",
volume = "65",
pages = "1165--1169",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "5",

}

RIS

TY - JOUR

T1 - Periodic Groups Saturated with Finite Simple Unitary Groups of Degree 4 over Finite Fields of Odd Characteristic

AU - Ma, X. j.

AU - Mao, Y. m.

AU - Lytkina, D. v.

AU - Mazurov, V. d.

PY - 2024/9/1

Y1 - 2024/9/1

N2 - Suppose that is some nonempty set of finite groups. A group issaturated with groups from if each finite subgroup of liesin a subgroup isomorphic to an element of.We prove that a periodic group with locally finite centralizers of involutionswhich is saturated with simple unitary groups of degree 4 over finite fields of fixed odd characteristic is isomorphic to a simple unitary group of degree 4 over some locally finite field of characteristic.

AB - Suppose that is some nonempty set of finite groups. A group issaturated with groups from if each finite subgroup of liesin a subgroup isomorphic to an element of.We prove that a periodic group with locally finite centralizers of involutionswhich is saturated with simple unitary groups of degree 4 over finite fields of fixed odd characteristic is isomorphic to a simple unitary group of degree 4 over some locally finite field of characteristic.

U2 - 10.1134/S003744662405015X

DO - 10.1134/S003744662405015X

M3 - Article

VL - 65

SP - 1165

EP - 1169

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 5

ER -

ID: 60797367