Publications (27)
Word maps and Waring type problems
Michael Larsen, Aner Shalev
Words, permutations, and the nonsolvable length of a finite group
Alexander Bors, Aner Shalev
Invariable Generation of Infinite Groups
William M. Kantor, Alexander Lubotzky, Aner Shalev
Waring Problem for Finite Quasisimple Groups
Michael Larsen, Aner Shalev, Pham Huu Tiep
Rapid expansion in finite simple groups
Martin W. Liebeck, Gili Schul, Aner Shalev
On the girth of random Cayley graphs
Alex Gamburd, Shlomo Hoory, Mehrdad Shahshahani +2
Zero-one generation laws for finite simple groups
Robert M. Guralnick, Martin W. Liebeck, Frank Lübeck +1
Product decompositions in finite simple groups
Martin Liebeck, Nikolay Nikolov, Aner Shalev
Girth, words and diameter
Martin W. Liebeck, Aner Shalev
On the Distribution of Values of Certain Word Maps
Michael Larsen, Aner Shalev
The length and depth of compact Lie groups
Timothy C. Burness, Martin W. Liebeck, Aner Shalev
Character bounds for finite groups of Lie type
Roman Bezrukavnikov, Martin W. Liebeck, Aner Shalev +1
Surjective word maps and Burnsides $p^aq^b$ theorem
Robert Guralnick, Martin Liebeck, Eamon O'Brien +2
A probabilistic Tits alternative and probabilistic identities
Michael Larsen, Aner Shalev
Commutator maps, measure preservation, and T-systems
Shelly Garion, Aner Shalev
Word Values in p-Adic and Adelic Groups
Nir Avni, Tsachik Gelander, Martin Kassabov +1
The Waring problem for Lie groups and Chevalley groups
Chun Yin Hui, Michael Larsen, Aner Shalev
Probabilistically nilpotent groups
Aner Shalev
Simple groups, interleaved products, complexity and conjectures of Gowers and Viola
Aner Shalev
Permutation groups, minimal degrees and quantum computing
Julia Kempe, Laszlo Pyber, Aner Shalev
The length and depth of algebraic groups
Timothy C. Burness, Martin W. Liebeck, Aner Shalev
Words, Hausdorff dimension and randomly free groups
Michael Larsen, Aner Shalev
Generation of second maximal subgroups and the existence of special primes
Timothy C. Burness, Martin W. Liebeck, Aner Shalev
The depth of a finite simple group
Timothy C. Burness, Martin W. Liebeck, Aner Shalev
The hidden subgroup problem and permutation group theory
Julia Kempe, Aner Shalev
On the length and depth of finite groups (with an appendix by D.R. Heath-Brown)
Timothy C. Burness, Martin W. Liebeck, Aner Shalev
Counting arithmetic lattices and surfaces
Mikhail Belolipetsky, Tsachik Gelander, Alex Lubotzky +1