ON CHARACTERIZATION OF SIMPLE ORTHOGONAL GROUPS OF ODD DIMENSION IN THE CLASS OF PERIODIC GROUPS

被引：1

作者：

Lytkina, D. V. ^{[1
,2
]}

Mazurov, V. D. ^{[2
]}

机构：

[1] Siberian State Univ Telecommun & Informat Sci, Novosibirsk, Russia

[2] Sobolev Inst Math, Novosibirsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2021年 / 62卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

periodic group; group saturated with a set of groups; locally finite group;

D O I：

10.1134/S0037446621010080

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose that n is an integer, n >= 3. We prove that a periodic group saturated with a set of the finite simple groups O2n+1(q), where q is congruent to +/- 3 modulo 8, is isomorphic to O2n+1(F) for some locally finite field F.

引用

页码：77 / 83

页数：7

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