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math.GR2015★ 1 cited
Generating pairs for finite index subgroups of sl(n, z)
Chen Meiri
Let . We positively answer a question of Lubotzky and prove that every finite index subgroup of SL(n, Z) contains a finite index subgroup which is generated by two element…
math.GR2015★ 2 cited
Maximal subgroups of SL(n, Z)
Tsachik Gelander, Chen Meiri
We establish the existence of maximal subgroups of various diferent natures in SL(n,Z). In particular, we prove that there are continuously many maximal subgroups, we provide a max…
math.GR2015★ 1 cited
Higher rank arithmetic groups which are not invariably generated
Tsachik Gelander, Chen Meiri
It was conjectured in [KLS14] that for arithmetic groups, Invariable Generation is equivalent to the Congruence Subgroup Property. In view of the famous Serre conjecture this would…