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

共 50 条

[1] Automorphisms of a strongly regular graph with parameters (276, 75, 10, 24)
A. A. Makhnev
M. S. Samoilenko
Doklady Mathematics, 2014, 90 : 485 - 488
[2] On automorphisms of a strongly regular graph with parameters (88, 27, 6, 9)
K. S. Efimov
A. A. Makhnev
Doklady Mathematics, 2012, 86 : 488 - 491
[3] On automorphisms of a strongly regular graph with parameters (96, 45, 24, 18)
A. Kh. Zhurtov
A. M. Kagazezheva
A. A. Makhnev
Doklady Mathematics, 2012, 86 : 600 - 604
[4] Automorphisms of a Strongly Regular Graph with Parameters (1305, 440, 115, 165)
A. A
D. V. Paduchikh
M. M. Khamgokova
Proceedings of the Steklov Institute of Mathematics, 2019, 304 : S112 - S122
[5] On automorphisms of strongly regular graph with parameters (96, 60, 38, 36)
I. N. Belousov
A. A. Makhnev
Doklady Mathematics, 2014, 89 : 45 - 48
[6] On automorphisms of a strongly regular graph with parameters (76, 35, 18, 14)
Makhnev, A. A.
Tokbaeva, A. A.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2010, 16 (03): : 185 - 194
[7] On the automorphisms of the strongly regular graph with parameters (85, 14, 3, 2)
Discrete Math Appl, 2009, 1 (89-111):
[8] On the automorphisms of the strongly regular graph with parameters (85; 14; 3; 2)
Paduchikh, D. V.
DISCRETE MATHEMATICS AND APPLICATIONS, 2009, 19 (01): : 89 - 111
[9] Automorphisms of a strongly regular graph with parameters (392, 115, 18, 40)
A. A. Makhnev
D. N. Ponomarev
Doklady Mathematics, 2015, 91 : 12 - 15
[10] On automorphisms of a strongly regular graph with parameters (64, 35, 18, 20)
Isakova, M. M.
Makhnev, A. A.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2010, 16 (03): : 96 - 104

← 1 2 3 4 5 →