The congruence subgroup problem
By M. Raghunathan. 2004
116 citations recorded by the source corpus.
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.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/7ce8344cdd85312cb413365026aaad22c54b06f0
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In Discrete Mathematics and Combinatorics
- Alexander Lubotzky
- Michael Larsen
- P. Caprace
- Andrei S.Rapinchuk
- Gopal Prasad
- Fritz Grunewald
- Nicolas Monod
- Aner Shalev
In Geometry and Topology
- P. Caprace
- Michael Larsen
- Alexander Lubotzky
- Nicolas Monod
- Fritz Grunewald
- Andrei S.Rapinchuk
- Gopal Prasad
- Denis V. Osin
In Mathematical Physics
- P. Caprace
- Nicolas Monod
- Michael Larsen
- Fritz Grunewald
- Alexander Lubotzky
- Andrei S.Rapinchuk
- Gopal Prasad
- Denis V. Osin
Citations in the corpus
- Arithmetic quotients of the mapping class group (2013, background): “Recall also that unipotent subgroups have an affirmative answer to the congruence subgroup problem [34], and hence a finite index subgroup of the root subgroup contains a congruence subgroup of it.”
- Isometry groups of non‐positively curved spaces: discrete subgroups (2009, background): “(See [75] for a recent survey on this conjecture.”
- Developments on the congruence subgroup problem after the work of Bass, Milnor and Serre (2008, background): “The literature devoted to the congruence subgroup problem is quite substantial – the reader can find detailed references in the survey articles [34], [35], [39], [40], and the book [54] (the last one treats only elementary aspects of the theory).”