Elementary abelian groups of rank 5 are DCI-groups

2017/05/08 by Feng, Yan-Quan, Kovács, István · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1705.02929

Abstract

In this paper, we show that the group ℤ_p⁵ is a DCI-group for any odd prime p, that is, two Cayley digraphs Cay(ℤ_p⁵,S) and Cay(ℤ_p⁵,T) are isomorphic if and only if S=T^φ for some automorphism φ of the group ℤ_p⁵.

Cited by

• On kernel isomorphisms of m-Cayley digraphs and finite 2PCI-groups

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