doi:10.1515/jgt-2014-0001
ISI:000338850000001
Aka, Menny
Gelander, Tsachik
Soifer, Gregory A.
Homogeneous number of free generators
Berlin, Walter De Gruyter Gmbh
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.
2014-08-29T06:49:58Z
http://infoscience.epfl.ch/record/201252
http://infoscience.epfl.ch/record/201252
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