منابع مشابه
The congruence subgroup problem ∗
This is a short survey of the progress on the congruence subgroup problem since the sixties when the first major results on the integral unimodular groups appeared. It is aimed at the non-specialists and avoids technical details.
متن کاملThe Congruence Subgroup Problem for Branch Groups
We state and study the congruence subgroup problem for groups acting on rooted tree, and for branch groups in particular. The problem is reduced to the computation of the congruence kernel, which we split into two parts: the branch kernel and the rigid kernel. In the case of regular branch groups, we prove that the first one is Abelian while the second has finite exponent. We also establish som...
متن کاملThe congruence subgroup problem for SLn(Z)
Following Bass–Milnor–Serre, we prove that SLn(Z) has the congruence subgroup property for n ≥ 3. This was originally proved by Mennicke and Bass–Lazard–Serre. Let Γn = SLn(Z). The congruence subgroup problem for Γn (solved independently by Mennicke [Me] and Bass–Lazard–Serre [BLS]) seeks to classify all finite-index subgroups of Γn. For l ≥ 2, the level l principal congruence subgroup of Γn, d...
متن کاملThe congruence subgroup problem for pure braid groups: Thurston’s proof
We present an unpublished proof of W. Thurston that pure braid groups have the congruence subgroup property.
متن کاملThe congruence subgroup problem for braid groups: Thurston’s proof
In this article we present an unpublished proof of W. Thurston that pure braid groups have the congruence subgroup property.
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ژورنال
عنوان ژورنال: Proceedings Mathematical Sciences
سال: 2004
ISSN: 0253-4142,0973-7685
DOI: 10.1007/bf02829437