The Cayley isomorphism property for groups of order p³q

2013/12/28 by Gábor Somlai, Somlai, Gábor
Engineering · Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1312.7453

openalex publication_date 2013/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For every prime p > 3 and for every prime q>p³ we prove that ℤ_q × ℤ_p³ is a DCI-group.

Related

• The Cayley isomorphism property for groups of order 8p
• The Cayley isomorphism property for ℤ_p³ × ℤ_q
• Groups with elements of order 8 do not have the DCI property
• Elementary proof that \mathbb Z_p⁴ is a DCI-group
• Elementary abelian groups of rank 5 are DCI-groups