AUTOMORPHISM GROUPS OF CYCLOTOMIC SCHEMES OVER FINITE NEAR-FIELDS

被引：4

作者：

Churikov, D. V. ^{[1
]}

Vasil'ev, A. V. ^{[1
,2
]}

机构：

[1] Novosibirsk State Univ, Ul Pirogova 2, Novosibirsk 630090, Russia

[2] Sobolev Inst Math, Pr Koptyuga 4, Novosibirsk 630090, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2016年 / 13卷

关键词：

near-field; cyclotomic scheme; automorphism group of a scheme; 2-closure of a permutation group; 4-transitive permutation groups;

D O I：

10.17377/semi.2016.13.099

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that apart from a finite number of known exceptions the automorphism group of a nontrivial cyclotomic scheme over a finite near-field K is isomorphic to a subgroup of the group AFL(1, F), where F is a field with vertical bar F vertical bar = broken vertical bar K broken vertical bar. Moreover, we obtain that the automorphism group of such a scheme is solvable if the base group of the scheme is solvable.

引用

页码：1271 / 1282

页数：12

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