Automorphisms of Zappa-Szép Product

2021/10/22 by Ratan Lal, Lal, Ratan, Vipul Kakkar +1 · 1 citation
Engineering · Mathematics · Medicine · #Chronic Lymphocytic Leukemia Research #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2110.11743

openalex publication_date 2021/10/22 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

In this paper, we have found the automorphism group of the Zappa-Szép product of two groups. Also, we have computed the automorphism group of the Zappa-Szép product of a cyclic group of order m and a cyclic group of order p², where p is a prime.

Cited by

• Determinant for automorphisms of semidirect product of groups

Related

• Central Automorphisms of Zappa-Szép Products
• Zappa-Szép actions of groups on product systems
• Automorphism groups of cyclic products of groups
• The automorphism groups of groups of order p² q
• Automorphisms of semidirect products fixing the non-normal subgroup