Automorphism groups of groups of order $p^{2}q^{2}$

Vipul  Kakkar; Ratan Lal

doi:10.5269/bspm.67496

Automorphism groups of groups of order $p^{2}q^{2}$

Auteurs-es

Vipul Kakkar Central University of Rajasthan
Ratan Lal Central University of Rajasthan

DOI :

https://doi.org/10.5269/bspm.67496

Résumé

In this paper, we have computed the automorphism groups of all groups of order $p^{2}q^{2}$ up to isomorphism, where $p$ and $q$ are distinct primes.

Références

1. Bidwell, J. N. S., Curran, M. J. and McCaughan, D. J., Automorphisms of direct products of finite groups, Arch. Math 86, 481-489, (2006).
2. Bidwell, J. N. S. and Curran, M. J., The automorphism group of a split metacyclic p-group, Arch. Math. 87, 488–497, (2006).
3. Campedel, E., Caranti, A. and Corso, I. D., The automorphism groups of groups of order p2q, Int. J. Group Theory 10, 149–157, (2021).
4. The GAP-Groups, Gap-Groups, Algorithms and Programming, 4.11.1 (2021). http://www.gap-system.org16 V. Kakkar and R. Lal
5. Hadi, A. S., Ghorbani, M. and Larki, F. N., A simple classification of finite groups of order p2q2, Math. Interdisc. Res. 3, 89–98, (2018).