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arXiv · 1910.07742

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

Tao Feng·Zhiwen He·Yu Qing Chen
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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.

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Tao Feng, Zhiwen He, Yu Qing Chen. 2019-10-17. Partial difference sets and amorphic Cayley schemes in non-abelian $2$-groups. https://arxiv.org/abs/1910.07742

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