We study cubic graphical regular representations of the finite simple groups PSL2(q). It is shown that such graphical regular representations exist if and only if q not equal 7, and the generating set must consist of three involutions. (C) 2016 Elsevier B.V. All rights reserved.China Postdoctoral Science Foundation [2014M560838]; National Science Foundation of China [11501011]SCI(E)ARTICLEbinzhouxia@pku.edu.cn; tengfang@pku.edu.cn82051-205533
For a finite group G, a Cayley graph Cay(G,S) is said to be normal if the group G(R) of right transl...
AbstractFor each odd prime p, there is a regular polyhedron Πp of type {3,p} with 12(p2−1) vertices ...
This thesis describes various aspects of primitive permutation representations of the groups PSL(2,q...
AbstractA group G is said to have a graphical regular representation if there exists a simple graph ...
AbstractA Cayley graph Γ=Cay(G, S) is called a graphical regular representation of the group G if Au...
A 2-cell embedding of a graph on a nonorientable closed surface is called regular if its automorphis...
AbstractA group G is said to have a graphical regular representation if there exists a simple graph ...
Following are notes from book [1]. The aim is to show the quasirandomness of PSL2(q), i.e., the grou...
A regular 2-graph consists of a set andOmega; together with a (non-empty) set t of three-element sub...
AbstractA Cayley graph Γ of a group G is a graphical doubly regular representation (GDRR) of the gro...
We announce the classification of all firm and residually connected geometries satisfying the condit...
AbstractIf X is a Cayley graph of a group G possessing a normal subgroup N, then there is a quotient...
A regular 2-graph consists of a set andOmega; together with a (non-empty) set t of three-element sub...
Complex groups generated by involutory reflexions arise naturally in the modern theory of abstract r...
AbstractIn recent years the term ‘chiral’ has been used for geometric and combinatorial figures whic...
For a finite group G, a Cayley graph Cay(G,S) is said to be normal if the group G(R) of right transl...
AbstractFor each odd prime p, there is a regular polyhedron Πp of type {3,p} with 12(p2−1) vertices ...
This thesis describes various aspects of primitive permutation representations of the groups PSL(2,q...
AbstractA group G is said to have a graphical regular representation if there exists a simple graph ...
AbstractA Cayley graph Γ=Cay(G, S) is called a graphical regular representation of the group G if Au...
A 2-cell embedding of a graph on a nonorientable closed surface is called regular if its automorphis...
AbstractA group G is said to have a graphical regular representation if there exists a simple graph ...
Following are notes from book [1]. The aim is to show the quasirandomness of PSL2(q), i.e., the grou...
A regular 2-graph consists of a set andOmega; together with a (non-empty) set t of three-element sub...
AbstractA Cayley graph Γ of a group G is a graphical doubly regular representation (GDRR) of the gro...
We announce the classification of all firm and residually connected geometries satisfying the condit...
AbstractIf X is a Cayley graph of a group G possessing a normal subgroup N, then there is a quotient...
A regular 2-graph consists of a set andOmega; together with a (non-empty) set t of three-element sub...
Complex groups generated by involutory reflexions arise naturally in the modern theory of abstract r...
AbstractIn recent years the term ‘chiral’ has been used for geometric and combinatorial figures whic...
For a finite group G, a Cayley graph Cay(G,S) is said to be normal if the group G(R) of right transl...
AbstractFor each odd prime p, there is a regular polyhedron Πp of type {3,p} with 12(p2−1) vertices ...
This thesis describes various aspects of primitive permutation representations of the groups PSL(2,q...