A Simple Classification of Finite Groups of Order p2q2
نویسندگان
1 Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University
2 Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University
3 Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University
doi
10.22052/mir.2017.62726.1044چکیده
Suppose G is a group of order p2q2 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 p2q2 when Q and P are cyclic, three groups when Q is a cyclic and P is an elementary ablian group, p2+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.
