Automorphisms of Zappa-Szép product fixing a subgroup

Vipul Kakkar; Ratan Lal

doi:10.2478/ausm-2023-0016

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Automorphisms of Zappa-Szép product fixing a subgroup

Acta Universitatis Sapientiae, Mathematica

Volume 15 (2023): Issue 2 (December 2023)

By: Vipul Kakkar and Ratan Lal

Open Access

|Dec 2023

Abstract

In this paper, we have found the automorphism group of the Zappa-Szép product of two groups fixing a subgroup. We have computed these automorphisms for a subgroup of order p² of a group G which is the Zappa-Szép product of two cyclic groups in which one is of order p² and other is of order m.

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Articles in this issue

DOI: https://doi.org/10.2478/ausm-2023-0016 | Journal eISSN: 2066-7752

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Language: English

Page range: 288 - 303

Submitted on: Dec 21, 2021

Published on: Dec 26, 2023

Published by: Sapientia Hungarian University of Transylvania

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

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© 2023 Vipul Kakkar, Ratan Lal, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 15 (2023): Issue 2 (December 2023)