On generalised Paley graphs and their automorphism groups

DOI10.1307/mmj/1242071694zbMath1284.05175arXivmath/0605252OpenAlexW2051631358WikidataQ56987725 ScholiaQ56987725MaRDI QIDQ1024883

Tian Khoon Kim, Cheryl E. Praeger

Publication date: 17 June 2009

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605252

zbMATH Keywords

Hamming graphsautomorphism groups of generalised Paley graphs

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (30)

Gauss sums and the maximum cliques in generalized Paley graphs of square order ⋮ Codes from neighbourhood designs of the graphs \(\text{GP}(q,\frac{q-1}{2})\) with \(q\) odd ⋮ Eigenvalues of Cayley graphs ⋮ On the directions determined by Cartesian products and the clique number of generalized Paley graphs ⋮ On maximal cliques of Cayley graphs over fields ⋮ Van Lint-MacWilliams' conjecture and maximum cliques in Cayley graphs over finite fields ⋮ The Waring's problem over finite fields through generalized Paley graphs ⋮ Permutation decoding of codes from generalized Paley graphs ⋮ Generalized Paley graphs and their complete subgraphs of orders three and four ⋮ Generalised Paley graphs with a product structure ⋮ On 2-distance-transitive circulants ⋮ The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs ⋮ Waring numbers over finite commutative local rings ⋮ Hypergeometric functions for Dirichlet characters and Peisert-like graphs on \(\mathbb{Z}_n\) ⋮ On eigenfunctions and maximal cliques of generalised Paley graphs of square order ⋮ Number of complete subgraphs of peisert graphs and finite field hypergeometric functions ⋮ Generalized Paley graphs equienergetic with their complements ⋮ Gossiping and routing in second-kind Frobenius graphs ⋮ Paley and the Paley Graphs ⋮ Automorphism Groups of Paley Graphs and Cyclotomic Schemes ⋮ On geodesic transitive graphs ⋮ On diagonal equations over finite fields via walks in NEPS of graphs ⋮ A classification of one-dimensional affine rank three graphs ⋮ Infinite Paley graphs ⋮ On WL-rank and WL-dimension of some Deza circulant graphs ⋮ Unnamed Item ⋮ A reduction formula for Waring numbers through generalized Paley graphs ⋮ Cliques and colorings in generalized Paley graphs and an approach to synchronization ⋮ The EKR-module property of pseudo-Paley graphs of square order ⋮ On a Paley-type graph on \({\mathbb{Z}}_n\)

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homogeneous factorisations of complete graphs with edge-transitive factors
• Singer-Zyklen in klassischen Gruppen
• Maximal overgroups of Singer elements in classical groups
• The Inclusion Problem for Finite Primitive Permutation Groups
• Pseudo-ordered polynomials over a finite field
• Closures of Finite Primitive Permutation Groups
• Linear Groups with Orders Having Certain Large Prime Divisors
• On Orthogonal Matrices
• On partitioning the orbitals of a transitive permutation group
• All self-complementary symmetric graphs

This page was built for publication: On generalised Paley graphs and their automorphism groups