Characterization of simple symplectic groups of degree 4 over locally finite fields of characteristic 2 in the class of periodic groups

被引：0

作者：

D. V. Lytkina

V. D. Mazurov

机构：

[1] Siberian State University of Telecommunications and Information Sciences Novosibirsk State University,Sobolev Institute of Mathematics

[2] Novosibirsk State University,undefined

来源：

Siberian Mathematical Journal | 2017年 / 58卷

关键词：

periodic group; period; symplectic group; locally finite group;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Suppose that each finite subgroup of even order of a periodic group containing an element of order 2 lies in a subgroup isomorphic to a simple symplectic group of degree 4 over some finite field of characteristic 2. We prove that in that case the group is isomorphic to a simple symplectic group S4(Q) over some locally finite field Q of characteristic 2.

引用

页码：850 / 858

页数：8

共 26 条

[1] Characterization of simple symplectic groups of degree 4 over locally finite fields of characteristic 2 in the class of periodic groups
Lytkina, D. V.
Mazurov, V. D.
SIBERIAN MATHEMATICAL JOURNAL, 2017, 58 (05) : 850 - 858
[2] Characterization of Simple Symplectic Groups of Degree 4 over Locally Finite Fields in the Class of Periodic Groups
Lytkina, D. V.
Mazurov, V. D.
ALGEBRA AND LOGIC, 2018, 57 (03) : 201 - 210
[3] Characterization of Simple Symplectic Groups of Degree 4 over Locally Finite Fields in the Class of Periodic Groups
D. V. Lytkina
V. D. Mazurov
Algebra and Logic, 2018, 57 : 201 - 210
[4] Characterization of Locally Finite Simple Groups of the Type 3 D 4 Over Fields of Odd Characteristic in the Class of Periodic Groups
Wei, X.
Guo, W.
Lytkina, D. V.
Mazurov, V. D.
SIBERIAN MATHEMATICAL JOURNAL, 2018, 59 (05) : 799 - 804
[5] Characterization of Locally Finite Simple Groups of the Type 3D4 Over Fields of Odd Characteristic in the Class of Periodic Groups
X. Wei
W. Guo
D. V. Lytkina
V. D. Mazurov
Siberian Mathematical Journal, 2018, 59 : 799 - 804
[6] 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.
Mazurov, V. D.
SIBERIAN MATHEMATICAL JOURNAL, 2024, 65 (05) : 1165 - 1169
[7] Characterization of Locally Finite Simple Groups of Type G2 over Fields of Odd Characteristics in the Class of Periodic Groups
Zhu, X.
Lytkina, D., V
Mazurov, V. D.
MATHEMATICAL NOTES, 2019, 105 (3-4) : 513 - 518
[8] Characterization of Locally Finite Simple Groups of Type G2 over Fields of Odd Characteristics in the Class of Periodic Groups
X. Zhu
D. V. Lytkina
V. D. Mazurov
Mathematical Notes, 2019, 105 : 513 - 518
[9] Periodic Groups Saturated with Finite Simple Symplectic Groups of Dimension 6 over Fields of Odd Characteristics
D. V. Lytkina
V. D. Mazurov
Siberian Mathematical Journal, 2022, 63 : 1117 - 1120
[10] Periodic Groups Saturated with Finite Simple Symplectic Groups of Dimension 6 over Fields of Odd Characteristics
Lytkina, D. V.
Mazurov, V. D.
SIBERIAN MATHEMATICAL JOURNAL, 2022, 63 (06) : 1117 - 1120

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