AUTOMORPHISMS OF A STRONGLY REGULAR GRAPH WITH PARAMETERS (532,156,30,52)

被引：1

作者：

Makhnev, A. A. ^{[1
]}

Khamgokova, M. M. ^{[2
]}

机构：

[1] NN Krasovsky Inst Math & Meckhan, Str S Kovalevskoy 4, Ekaterinburg 620990, Russia

[2] Kabardino Balkarian State Univ, Nalchik 360000, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2015年 / 12卷

关键词：

strongly regular graph; automorphism group;

D O I：

10.17377/semi.2015.12.078

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 strongly regular graph with parameters (532,156,30,52). Let Gamma be a strongly regular graph with parameters (532,156,30,52) and G = Aut(Gamma) be a nonsolvable group acting transitively on the vertex set of Gamma. Then (G) over bar = G/O-2 (G) congruent to J(1), S(G) = O-2 (G) is an irreducible F(2)J(1)-module, vertical bar O-2(G)vertical bar > 2 and (G) over bar (a) congruent to L-2(11).

引用

页码：930 / 939

页数：10

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