Automorphisms of Zappa-Sz\'{e}p Product
Ratan Lal, Vipul Kakkar

TL;DR
This paper determines the automorphism groups of Zappa-Szép products of groups, including specific cases involving cyclic groups of prime power order, advancing understanding of their symmetries.
Contribution
It explicitly computes automorphism groups for Zappa-Szép products, including a new case involving cyclic groups of order m and p^2.
Findings
Automorphism group of Zappa-Szép product of two groups identified.
Automorphism group of cyclic groups of order m and p^2 computed.
Provides explicit automorphism groups for specific Zappa-Szép products.
Abstract
In this paper, we have found the automorphism group of the Zappa-Sz\'{e}p product of two groups. Also, we have computed the automorphism group of the Zappa-Sz\'{e}p product of a cyclic group of order and a cyclic group of order , where is a prime.
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Taxonomy
TopicsFinite Group Theory Research · graph theory and CDMA systems · Chronic Lymphocytic Leukemia Research
