Semisymmetric \(Z_{p}\)-covers of the \(C20\) graph

• Date: 2021
• Main Authors: Talebi, A. A., Mehdipoor, N.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2021
• Subjects: invariant subspaces; homology group; $C20$ graph; semisymmetric graphs; regular covering; lifting automorphisms; 05C25; 20b25
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/252
• Journal Title: Algebra and Discrete Mathematics

A graph \(X\) is said to be \(G\)-semisymmetric if it is regular and there exists a subgroup \(G\) of \(A := \operatorname{Aut}(X)\) acting transitively on its edge set but not on its vertex set. In the case of \(G = A\), we call \(X\) a semisymmetric graph. Finding elementary abelian covering proje...