%0 Journal Article
%T A Simple Classification of Finite Groups of Order p2q2
%J Mathematics Interdisciplinary Research
%I University of Kashan
%Z 2538-3639
%A Seyyed Hadi, Aziz
%A Ghorbani, Modjtaba
%A Nowroozi Larki, Farzaneh
%D 2018
%\ 12/01/2018
%V 3
%N 2
%P 89-98
%! A Simple Classification of Finite Groups of Order p2q2
%K Semi-direct product
%K p-group
%K Sylow subgroup
%R 10.22052/mir.2017.62726.1044
%X Suppose G is a group of order p^2q^2 where p>q are prime numbers and suppose P and Q are Sylow p-subgroups and Sylow q-subgroups of G, respectively. In this paper, we show that up to isomorphism, there are four groups of order p^2q^2 when Q and P are cyclic, three groups when Q is a cyclic and P is an elementary ablian group, p^2+3p/2+7 groups when Q is an elementary ablian group and P is a cyclic group and finally, p + 5 groups when both Q and P are elementary abelian groups.
%U http://mir.kashanu.ac.ir/article_45273_e39c942af529952ba55f29606887d4c6.pdf