Partial difference sets and amorphic Cayley schemes in non‐abelian 2‐groups
Tao Feng, Zhiwen He, Yu Qing Chen · Journal of Combinatorial Designs · 2019
Abstract In this paper, we consider regular automorphism groups of graphs in the RT2 family and the Davis‐Xiang family and amorphic abelian Cayley schemes from these graphs. We derive general results on the existence of non‐abelian regular automorphism groups from abelian regular automorphism groups and apply them to the RT2 family and Davis‐Xiang family and their amorphic abelian Cayley schemes to produce amorphic non‐abelian Cayley schemes.