Characterization of Simple Symplectic Groups of Degree 4 over Locally Finite Fields 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,

[2] Novosibirsk State University,undefined

[3] Sobolev Institute of Mathematics,undefined

来源：

Algebra and Logic | 2018年 / 57卷

关键词：

periodic group; locally finite field; simple symplectic group;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let G be a periodic group containing an element of order 2 such that each of its finite subgroups of even order lies in a finite subgroup isomorphic to a simple symplectic group of degree 4. It is shown that G is isomorphic to a simple symplectic group S4(Q) of degree 4 over some locally finite field Q.

引用

页码：201 / 210

页数：9

共 40 条

[21] On the periodic groups saturated by direct products of finite simple groups
Lytkina D.V.
Siberian Mathematical Journal, 2011, 52 (2) : 267 - 273
[22] The periodic groups saturated by finitely many finite simple groups
D. V. Lytkina
L. R. Tukhvatullina
K. A. Filippov
Siberian Mathematical Journal, 2008, 49 : 317 - 321
[23] Large element orders and the characteristic of finite simple symplectic groups
Lytkin, D. V.
SIBERIAN MATHEMATICAL JOURNAL, 2013, 54 (01) : 78 - 95
[24] Large element orders and the characteristic of finite simple symplectic groups
D. V. Lytkin
Siberian Mathematical Journal, 2013, 54 : 78 - 95
[25] Sylow 2-subgroups of the periodic groups saturated with finite simple groups
Li, B.
Lytkina, D. V.
SIBERIAN MATHEMATICAL JOURNAL, 2016, 57 (06) : 1029 - 1033
[26] PERIODIC GROUPS SATURATED WITH FINITE SIMPLE GROUPS OF LIE TYPE OF RANK 1
Shlepkin, A. A.
ALGEBRA AND LOGIC, 2018, 57 (01) : 81 - 86
[27] Periodic Groups Saturated with Finite Simple Groups of Lie Type of Rank 1
A. A. Shlepkin
Algebra and Logic, 2018, 57 : 81 - 86
[28] 2-RANK TWO PERIODIC GROUPS SATURATED WITH FINITE SIMPLE GROUPS
Lytkina, Darya Viktorovna
Sozutov, Anatoly I.
Shlepkin, Aleksei Anatolievich
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2018, 15 : 786 - 796
[29] Periodic groups saturated by finite simple groups U 3(2 m)
Lytkina D.V.
Tukhvatullina L.R.
Filippov K.A.
Algebra and Logic, 2008, 47 (3) : 166 - 175
[30] Sylow 2-subgroups of the periodic groups saturated with finite simple groups
B. Li
D. V. Lytkina
Siberian Mathematical Journal, 2016, 57 : 1029 - 1033

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