FINITE GROUPS WITH THEIR AUTOMORPHISM GROUPS HAVING ORDERS \(4pq ^{2}\) (2 < p < q)
Keywords:
a finite group, automorphism group, Sylow subgroup, order, classificationAbstract
The authors find all finite nilpotent groups with automorphism groups having orders 4pq2 and prove that there exists no finite non-nilpotent group such that |Aut(G)| = 4pq2 (2 < p < q, p ∤ q2 - 1). So, the authors classify finite groups with their automorphism groups having orders 4pq2 (2 < p < q, p ∤ q2 - 1).
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Published
2013-12-31
How to Cite
Zeng, Y., & Chen, G. (2013). FINITE GROUPS WITH THEIR AUTOMORPHISM GROUPS HAVING ORDERS \(4pq ^{2}\) (2 < p < q). Italian Journal of Pure and Applied Mathematics, 31, 263–276. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6136
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Section
Articoli - Forum Editrice
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Copyright (c) 2013 Yu Zeng, Guiyun Chen
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
