TY - JOUR
ID - 45273
TI - A Simple Classification of Finite Groups of Order p2q2
JO - Mathematics Interdisciplinary Research
JA - MIR
LA - en
SN - 2538-3639
AU - Seyyed Hadi, Aziz
AU - Ghorbani, Modjtaba
AU - Nowroozi Larki, Farzaneh
AD - Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University
Y1 - 2018
PY - 2018
VL - 3
IS - 2
SP - 89
EP - 98
KW - Semi-direct product
KW - p-group
KW - Sylow subgroup
DO - 10.22052/mir.2017.62726.1044
N2 - 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.
UR - https://mir.kashanu.ac.ir/article_45273.html
L1 - https://mir.kashanu.ac.ir/article_45273_e39c942af529952ba55f29606887d4c6.pdf
ER -