AUTOMORPHISMS OF NONSPLIT COVERINGS OF PSL2 (q) IN ODD CHARACTERISTIC DIVIDING q - 1

被引：0

作者：

Zavarnitsine, Andrei, V ^{[1
]}

机构：

[1] Sobolev Inst Math, 4 Koptyug Ave, Novosibirsk 630090, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2022年 / 19卷 / 01期

关键词：

Automorphism group; nonsplit extension; cohomology;

D O I：

10.33048/semi.2022.19.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify the nonsplit extensions of elementary abelian p-groups by PSL2(q), with odd p dividing q-1, for an irreducible induced action, calculate the relevant low-dimensional cohomology groups, and describe the automorphism groups of such extensions.

引用

页码：285 / 291

页数：7