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25 April 2024

» arxiv » 1910.7742

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Partial difference sets and amorphic Cayley schemes in non-abelian $2$-groups
Tao Feng ; Zhiwen He ; Yu Qing Chen ;
Date:	17 Oct 2019
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.
Source:	arXiv, 1910.7742
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