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10 votes
0 answers
465 views

A uniform bound for a "true" non-congruence subgroup

Before stating my question, let me recall the Congruence Subgroup Property/Problem: Given simply connected absolutely and almost simple algebraic group G with fixed realization as a matrix group one ...
Menny's user avatar
  • 638
6 votes
1 answer
163 views

Are double cosets of cyclic subgroups separable in a special linear group?

Let A,BSL3(Z). Set S=AB={AmBn:m,nZ}.
Is S closed in the profinite topology on $\mathrm{SL}_3(\mathbb{...
Pablo's user avatar
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3 votes
0 answers
103 views

Colimits in cohomology of profinite arithmetic groups

Let GGLn be a linear algebraic group over Q and let ΓGGLn(Z) be an arithmeric subgroup without torsion. Using a result ...
Jrodri26's user avatar
  • 133
2 votes
1 answer
425 views

Is SLn(Zp) virtually torsion free?

If so, is there a way to conclude this from Malcev's theorem? In general, what is known about virtually torsion freeness of non-finitely generated linear groups?
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