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PreprintarXiv licencearXiv

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× 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 A5.

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Cite

BibTeXRIS
BibTeX
@misc{lal2026determinant,
  title = {{Determinant for automorphisms of Zappa-Szép product of groups}},
  author = {Ratan Lal and Alka Choudhary and Vipul Kakkar},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.24852},
  eprint = {2609.24852},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.24852},
}
RIS
TY  - UNPB
TI  - Determinant for automorphisms of Zappa-Szép product of groups
AU  - Ratan Lal
AU  - Alka Choudhary
AU  - Vipul Kakkar
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.24852
UR  - https://arxiv.org/abs/2609.24852
AB  - A description of the endomorphisms of Zappa-Szép products of two groups as a group of 2× 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.
ER  -