Characterization of Locally Finite Simple Groups of the Type 3D4 Over Fields of Odd Characteristic in the Class of Periodic Groups

被引：0

作者：

X. Wei

W. Guo

D. V. Lytkina

V. D. Mazurov

机构：

[1] Anhui Jianzhu University,Department of Mathematics and Physics

[2] University of Science and Technology of China,School of Mathematical Sciences

[3] Novosibirsk State University,Siberian State University of Telecommunications and Information Sciences

[4] Novosibirsk State University,Sobolev Institute of Mathematics

来源：

Siberian Mathematical Journal | 2018年 / 59卷

关键词：

periodic group; period; locally finite group; group of Lie type; group saturated with a set of groups;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove that a periodic group is locally finite, given that each finite subgroup of the group lies in a subgroup isomorphic to a finite simple group of Lie type 3D4 over a field of odd characteristic.

引用

页码：799 / 804

页数：5

共 29 条

[21] On Locally Finite Groups Saturated by Full and Special Linear Groups over Finite Fields
Shlepkin, A. A.
SIBERIAN MATHEMATICAL JOURNAL, 2024, 65 (04) : 869 - 877
[22] Periodic Groups Saturated with Finite Simple Groups L4(q)
Guo, W.
Lytkina, D., V
Mazurov, V. D.
ALGEBRA AND LOGIC, 2022, 60 (06) : 360 - 365
[23] Periodic Groups Saturated with Finite Simple Groups of Types U 3 and L 3
Lytkina, D. V.
Shlepkin, A. A.
ALGEBRA AND LOGIC, 2016, 55 (04) : 289 - 294
[24] 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
[25] 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
[26] Parabolic permutation representations of the groups 2F4(q) and 3D4(q3)
Korableva, VV
MATHEMATICAL NOTES, 2000, 67 (1-2) : 55 - 60
[27] Generating Triples of Involutions of Groups of Lie Type of Rank 2 Over Finite Fields
Nuzhin, Ya. N.
ALGEBRA AND LOGIC, 2019, 58 (01) : 59 - 76
[28] Generating Triples of Involutions of Groups of Lie Type of Rank 2 Over Finite Fields
Ya. N. Nuzhin
Algebra and Logic, 2019, 58 : 59 - 76
[29] 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

← 1 2 3 →