FINITE GROUPS WITH 6PQ ELEMENTS OF THE LARGEST ORDER

Yong Xu; Juanjuan Gao; Hailong Hou

FINITE GROUPS WITH 6PQ ELEMENTS OF THE LARGEST ORDER

Autori

Yong Xu Henan University - School of Mathematics and Statistics
Juanjuan Gao Henan University - School of Mathematics and Statistics
Hailong Hou Henan University - School of Mathematics and Statistics

Parole chiave:

finite group, number of elements of the largest order, solvable group, Thompson's Problem

Abstract

It is an interesting topic to determine the structure of a finite group with a given number of elements of the largest order. In this article, it is proved that finite groups with 6_pq elements of the largest order, where p, q are primes and 13 < p < q, are solvable.

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

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Pubblicato

2013-12-31

Come citare

Xu, Y., Gao, J., & Hou, H. (2013). FINITE GROUPS WITH 6PQ ELEMENTS OF THE LARGEST ORDER. Italian Journal of Pure and Applied Mathematics, 31, 277–284. Recuperato da https://journals.uniurb.it/index.php/ijpam/article/view/6135