Determinant for automorphisms of semidirect product of groups
Group Theory
2025-07-25 v1
Abstract
A description of the endomorphisms of semidirect products of two groups as a group of matrices of maps is already known. Using this description, we have studied the concept of determinant for the endomorphisms of semidirect product of two groups. A characterization of the invertible endomorphisms is given with the help of the tools developed using the determinants.
Cite
@article{arxiv.2507.18456,
title = {Determinant for automorphisms of semidirect product of groups},
author = {Ratan Lal and Alka Choudhary and Vipul Kakkar},
journal= {arXiv preprint arXiv:2507.18456},
year = {2025}
}
Comments
This is a first draft. Comments welcome