201252
20181203023602.0
doi
10.1515/jgt-2014-0001
1433-5883
ISI
000338850000001
ARTICLE
Homogeneous number of free generators
Berlin
Walter De Gruyter Gmbh
2014
2014
15
Journal Articles
We address two questions of Simon Thomas. First, we show that for any n >= 3 one can find a four-generated free subgroup of SLn (Z) which is profinitely dense. More generally, we show that an arithmetic group Gamma that admits the congruence subgroup property has a profinitely-dense free subgroup with an explicit bound on its rank. Next, we show that the set of profinitely-dense, locally-free subgroups of such an arithmetic group Gamma is uncountable.
Aka, Menny
Ecole Polytech Fed Lausanne, Sect Math, CH-1015 Lausanne, Switzerland
Gelander, Tsachik
Soifer, Gregory A.
17
4
525-539
Journal Of Group Theory
252238
TAN
U11828
oai:infoscience.tind.io:201252
SB
article
178545
148230
EPFL-ARTICLE-201252
EPFL
REVIEWED
PUBLISHED
ARTICLE