Partial difference sets and amorphic Cayley schemes in non-abelian\n 2-groups

2019/10/17 by Tao Feng, Feng, Tao, Zhiwen He +3 · 1 citation
Engineering · Mathematics · Computer Science · #graph theory and CDMA systems #Finite Group Theory Research #Coding theory and cryptography

paper · pdf · doi:10.48550/arxiv.1910.07742

Abstract

In this paper, we consider regular automorphism groups of graphs in the RT2\nfamily and the Davis-Xiang family and amorphic abelian Cayley schemes from\nthese graphs. We derive general results on the existence of non-abelian regular\nautomorphism groups from abelian regular automorphism groups and apply them to\nthe RT2 family and Davis-Xiang family and their amorphic abelian Cayley\nschemes to produce amorphic non-abelian Cayley schemes.\n

Cited by

• Character theoretic techniques for nonabelian partial difference sets

Related

• Restrictions on parameters of partial difference sets in nonabelian\n groups
• Genuinely nonabelian partial difference sets
• Nonabelian partial difference sets constructed using abelian techniques
• Two families of graphs that are Cayley on nonisomorphic groups
• Character theoretic techniques for nonabelian partial difference sets