FINITE GROUPS WITH THEIR AUTOMORPHISM GROUPS HAVING ORDERS \(4pq ^{2}\) (2 < p < q)

Yu Zeng; Guiyun Chen

FINITE GROUPS WITH THEIR AUTOMORPHISM GROUPS HAVING ORDERS \(4pq ^{2}\) (2 < p < q)

Autori

Yu Zeng Southwest Chongqing University - School of Mathematics and Statistics
Guiyun Chen Southwest Chongqing University - School of Mathematics and Statistics

Parole chiave:

a finite group, automorphism group, Sylow subgroup, order, classification

Abstract

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).

Cover of n°31 Italian Journal of Pure and Applied Mathematics

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Pubblicato

2013-12-31

Come citare

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. Recuperato da https://journals.uniurb.it/index.php/ijpam/article/view/6136