Automorphism Groups of Paley Graphs and Cyclotomic Schemes

被引：1

作者：

Muzychuk, M. E. ^{[1
]}

机构：

[1] Ben Gurion Univ Negev, Dept Math, Beer Sheva, Israel

来源：

ISOMORPHISMS, SYMMETRY AND COMPUTATIONS IN ALGEBRAIC GRAPH THEORY | 2020年 / 305卷

关键词：

Automorphism group; Cyclotomic schemes; Paley graphs;

D O I：

10.1007/978-3-030-32808-5_6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper gives a new proof of the old result of McConnell (Acta Arithm 8:127-151, 1963 [9]) stating that the automorphism group of a cyclotomic scheme over the finite field F-q is a subgroup of A Gamma L-1(q).

引用

页码：185 / 194

页数：10

共 12 条

[1]

[Anonymous], 1989, DISTANCE REGULAR GRA

[2] On cyclotomic schemes over finite near-fields [J].

Bagherian, J. ;

Ponomarenko, Ilia ;

Barghi, A. Rahnamai .

JOURNAL OF ALGEBRAIC COMBINATORICS, 2008, 27 (02) :173-185

[3] On the number of slopes of the graph of a function defined on a finite field [J].

Blokhuis, A ;

Brouwer, AE ;

Storme, L ;

Szönyi, T .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 1999, 86 (01) :187-196

[4]

Burnside W., 1955, Theory of Groups of Finite Order, Vsecond

[5] AUTOMORPHISM GROUPS OF CYCLOTOMIC SCHEMES OVER FINITE NEAR-FIELDS [J].

Churikov, D. V. ;

Vasil'ev, A. V. .

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2016, 13 :1271-1282

[6]

Dress AWM., 1992, BAYREUTHER MATH SCHR, V40, P7

[7]

Jones G.A, PALEY PALEY GRAPHS

[8]

Lim TK, 2009, MICH MATH J, V58, P293

[9]

McConnel R., 1963, ACTA ARITH, V8, P127

[10] Permutation groups of prime degree, a quick proof of Burnside's theorem [J].

Müller, P .

ARCHIV DER MATHEMATIK, 2005, 85 (01) :15-17

← 1 2 →