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

Tao Feng; Zhiwen He; Yu Qing Chen

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

Combinatorics 2019-10-18 v1

Authors: Tao Feng , Zhiwen He , Yu Qing Chen

Abstract

In this paper, we consider regular automorphism groups of graphs in the RT $2$ 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 RT $2$ family and Davis-Xiang family and their amorphic abelian Cayley schemes to produce amorphic non-abelian Cayley schemes.

Keywords

cayley graphs abelian groups

Cite

@article{arxiv.1910.07742,
  title  = {Partial difference sets and amorphic Cayley schemes in non-abelian $2$-groups},
  author = {Tao Feng and Zhiwen He and Yu Qing Chen},
  journal= {arXiv preprint arXiv:1910.07742},
  year   = {2019}
}

Comments

16 pages, 0 figure

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