About groups with property $(U)$

About groups with property $(U)$

Show other versions (2)

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...

Full description

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://test.armjmath.sci.am/index.php/ajm/article/view/42
id doaj-83293b651a24477cafd0c09d0722d691
record_format Article
spelling doaj-83293b651a24477cafd0c09d0722d6912020-11-24T22:25:04ZengRepublic of Armenia National Academy of SciencesArmenian Journal of Mathematics1829-11632008-12-0113About groups with property $(U)$Hamid Reza Rostami0Yerevan State University, Yerevan, Armenia 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 and D.Sonkin. http://test.armjmath.sci.am/index.php/ajm/article/view/42
collection DOAJ
language English
format Article
sources DOAJ
author Hamid Reza Rostami
spellingShingle Hamid Reza Rostami
About groups with property $(U)$
Armenian Journal of Mathematics
author_facet Hamid Reza Rostami
author_sort Hamid Reza Rostami
title About groups with property $(U)$
title_short About groups with property $(U)$
title_full About groups with property $(U)$
title_fullStr About groups with property $(U)$
title_full_unstemmed About groups with property $(U)$
title_sort about groups with property $(u)$
publisher Republic of Armenia National Academy of Sciences
series Armenian Journal of Mathematics
issn 1829-1163
publishDate 2008-12-01
description 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 and D.Sonkin.
url http://test.armjmath.sci.am/index.php/ajm/article/view/42
work_keys_str_mv AT hamidrezarostami aboutgroupswithpropertyu
_version_ 1725759524137074688

Similar Items