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arXiv · 2609.24852

Determinant for automorphisms of Zappa-Szép product of groups

Ratan Lal·Alka Choudhary·Vipul Kakkar
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Abstract

A description of the endomorphisms of Zappa-Szép products of two groups as a group of $2\times 2$ matrices of maps is discussed in \cite{detsem}. Using this description, we have studied the concept of determinant for the endomorphisms of Zappa-Szép products of two groups. A characterization of the invertible endomorphisms is given with the help of the tools developed using the determinants. The determinants are also computed for the alternating group $A_{5}$.

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Ratan Lal, Alka Choudhary, Vipul Kakkar. 2026-09-21. Determinant for automorphisms of Zappa-Szép product of groups. https://arxiv.org/abs/2609.24852

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