1k citations
- Rutgers, The State University of New JerseyUS16 papers
- Tel Aviv UniversityIL11 papers
- Bar-Ilan UniversityIL10 papers
- Centre National de la Recherche ScientifiqueFR10 papers
- University of ChicagoUS10 papers
- Weizmann Institute of ScienceIL10 papers
- Hungarian Academy of SciencesHU9 papers
- University of WashingtonUS8 papers
- California Institute of TechnologyUS7 papers
- Purple Mountain ObservatoryCN6 papers
- Universidad de SalamancaES6 papers
- University of California, BerkeleyUS6 papers
8 papers · 1 filter
Remarks on Proficient groups
R. M. Guralnick, W. M. Kantor, M. Kassabov +1
If a finite group G has a presentation with d generators and r relations, it is well-known that r - d is at least the rank of the Schur multiplier of G; a presentation is called ef…
Projective pairs of profinite groups
Lior Bary-Soroker
We generalize the notion of a projective profinite group to a projective pair of a profinite group and a closed subgroup. We establish the connection with Pseudo Algebraically Clos…
Arithmetic Groups Have Rational Representation Growth
Nir Avni
Let G be an arithmetic lattice in a semisimple algebraic group over a number field. We show that if G has the congruence subgroup property, then the number of n-dimensional irreduc…
Word maps and Waring type problems
Michael Larsen, Aner Shalev
Waring's classical problem deals with expressing every natural number as a sum of g(k) k-th powers. Recently there has been considerable interest in similar questions for nonabelia…
Subgroup growth of lattices in semisimple Lie groups
A. Lubotzky, N. Nikolov
We give very precise bounds for the congruence subgroup growth of arithmetic groups. This allows us to determine the subgroup growth of irreducible lattices of semisimple Lie group…
A topological Tits alternative
Emmanuel Breuillard, Tsachik Gelander
Let k be a local field, and G a linear group over k. We prove that either G contains a relatively open solvable subgroup, or it contains a relatively dense free subgroup. This resu…