AUTOMORPHISMS OF A REMOTELY REGULAR GRAPH WITH AN INTERSECTION ARRAY

被引：0

作者：

Makhnev, Alexandr Alekseevich ^{[1
]}

Belousova, Veronika Igorevna ^{[2
]}

机构：

[1] NN Krasovsky Inst Math & Meckhan, 16 S Kovalevskoy Str, Ekaterinburg 620990, Russia

[2] Ural Fed Univ, 19 Mira Str, Ekaterinburg 620002, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2019年 / 16卷

关键词：

strongly regular graph; distance-regular graph; automorphism;

D O I：

10.33048/semi.2019.16.031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Prime divisors of orders of automorphisms and the fixed point subgraphs of automorphisms of prime orders are studied for a hypothetical distance- regular graph with intersection array {30, 27, 24; 1, 2, 10g. Let G = Aut(Gamma) is nonsolvable group, (G) over bar = G/S(G) and (T) over bar is the socle of (G) over bar. If Gamma is vertex- symmetric then (G) is {2g} - group, and (T) over bar congruent to L-2 (11), M-11, U-5 (2), M-22, A(11), HiS.

引用

页码：493 / 500

页数：8

共 13 条

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