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

[31] On the periodic groups saturated by direct products of finite simple groups. ii
Lytkina D.V.
Siberian Mathematical Journal, 2011, 52 (5) : 871 - 883
[32] ON THE PERIODIC GROUPS SATURATED BY DIRECT PRODUCTS OF FINITE SIMPLE GROUPS. II
Lytkina, D. V.
SIBERIAN MATHEMATICAL JOURNAL, 2011, 52 (05) : 871 - 883
[33] On The Periodic Groups Saturated with Finite Simple Groups of Lie Type B3
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V. D. Mazurov
Siberian Mathematical Journal, 2020, 61 : 499 - 503
[34] ON THE PERIODIC GROUPS SATURATED WITH FINITE SIMPLE GROUPS OF LIE TYPE B3
Lytkina, D. V.
Mazurov, V. D.
SIBERIAN MATHEMATICAL JOURNAL, 2020, 61 (03) : 499 - 503
[35] Periodic Groups Saturated with Finite Simple Groups of Types U 3 and L 3
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Shlepkin, A. A.
ALGEBRA AND LOGIC, 2016, 55 (04) : 289 - 294
[36] On a Characterization of Locally Finite Groups in Terms of Linear Cellular Automata
Ceccherini-Silberstein, Tullio
Coornaert, Michel
JOURNAL OF CELLULAR AUTOMATA, 2011, 6 (2-3) : 207 - 213
[37] Periodic Groups Saturated with Finite Simple Groups of Types U3 and L3
D. V. Lytkina
A. A. Shlepkin
Algebra and Logic, 2016, 55 : 289 - 294
[38] On recognition of the finite simple groups L2(2m) in the class of all groups
Zhurtov, AK
Mazurov, VD
SIBERIAN MATHEMATICAL JOURNAL, 1999, 40 (01) : 62 - 64
[39] On recognition of the finite simple groupsL2(2m) in the class of all groups
A. Kh. Zhurtov
V. D. Mazurov
Siberian Mathematical Journal, 1999, 40 : 62 - 64
[40] Groups saturated with finite simple groups L3(2n) and L4(2l).
Shlepkin, A. A.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2022, 28 (02): : 249 - 257

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