A Simple Classification of Finite Groups of Order p2q2
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of Kashan
2018-12-01
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| Series: | Mathematics Interdisciplinary Research |
| Subjects: | |
| Online Access: | https://mir.kashanu.ac.ir/article_45273_e39c942af529952ba55f29606887d4c6.pdf |
| Summary: | 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. |
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| ISSN: | 2476-4965 |