About groups with property $(U)$

In this article we prove that for any odd $n \ge 1003$ there exist continuum non isomorphic (simple) groups with property $(U)$, whose $U$- constant satisfies the inequality $u(G) < (3n^4)/2$. The question of finding infinite groups with property $(U)$ was proposed in the joint work by D.Osin an...

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Bibliographic Details
Main Author: Hamid Reza Rostami
Format: Article
Language:English
Published: Republic of Armenia National Academy of Sciences 2008-12-01
Series:Armenian Journal of Mathematics
Online Access:http://armjmath.sci.am/index.php/ajm/article/view/42