All Questions
Tagged with arithmetic-groups profinite-groups
4 questions
10
votes
0
answers
465
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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 ...
6
votes
1
answer
163
views
Are double cosets of cyclic subgroups separable in a special linear group?
Let A,B∈SL3(Z). Set
S=⟨A⟩⋅⟨B⟩={AmBn:m,n∈Z}.
Is S closed in the profinite topology on
$\mathrm{SL}_3(\mathbb{...
3
votes
0
answers
103
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Colimits in cohomology of profinite arithmetic groups
Let G⊂GLn be a linear algebraic group over Q and let Γ⊂G∩GLn(Z) be an arithmeric subgroup without torsion. Using a result ...
2
votes
1
answer
425
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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?