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math.GR2022
On oriented -semiregular representations of finite groups about valency two
Jia-Li Du, Young Soo Kwon, Da-Wei Yang
Given a group , an {\em -Cayley digraph $\G$ over } is a digraph that has a group of automorphisms isomorphic to acting semiregularly on the vertex set with orbits…
math.GR2022
On oriented -semiregular representations of finite groups
Jia-Li Du, Yan-Quan Feng, Sejeong Bang
A finite group admits an {\em oriented regular representation} if there exists a Cayley digraph of such that it has no digons and its automorphism group is isomorphic to $G…