Affiliation:
1. Department of Pure Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424, Hafez Avenue, Tehran 15914, Iran
Abstract
Let [Formula: see text] be a finite group. We denote by [Formula: see text] the integer [Formula: see text] where [Formula: see text] denotes the order of [Formula: see text]. It is verified that some finite groups are uniquely determined by their orders and their product of element orders. In this paper, we prove that, if [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] are different prime numbers, then [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] are characterized by [Formula: see text] and if [Formula: see text], then [Formula: see text] or [Formula: see text].
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
1 articles.
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