Publications

2018
Michael Larsen and Shalev, Aner . 2018. “Words, Hausdorff Dimension And Randomly Free Groups”. Mathematische Annalen, 371, 3, Pp. 1409-1427.
2017
Aner Shalev. 2017. “Conjugacy Classes, Growth And Complexity”. Finite Simple Groups: Thirty Years Of The Atlas And Beyond, Cm, 694, Pp. 209-222.
Timothy C Burness, Liebeck, Martin W, and Shalev, Aner . 2017. “Generation Of Second Maximal Subgroups And The Existence Of Special Primes”.
Aner Shalev. 2017. “Mixing, Communication Complexity And Conjectures Of Gowers And Viola”. Combinatorics, Probability And Computing, 26, 4, Pp. 628-640.
Martin Liebeck, Schul, Gili , and Shalev, Aner . 2017. “Rapid Growth In Finite Simple Groups”. Transactions Of The American Mathematical Society, 369, 12, Pp. 8765-8779.
Aner Shalev and Tiep, Pham Huu . 2017. “Some Conjectures On Frobenius' Character Sum”. Bulletin Of The London Mathematical Society, 49, 5, Pp. 895-902.
2016
Michael Larsen and Shalev, Aner . 2016. “On The Distribution Of Values Of Certain Word Maps”. Transactions Of The American Mathematical Society, 368, 3, Pp. 1647-1661.
Michael Larsen and Shalev, Aner . 2016. “A Probabilistic Tits Alternative And Probabilistic Identities”. Algebra & Number Theory, 10, 6, Pp. 1359-1371.
2015
Martin W Liebeck and Shalev, Aner . 2015. “On Fixed Points Of Elements In Primitive Permutation Groups”. Journal Of Algebra, 421, Pp. 438-459.
William M Kantor, Lubotzky, Alexander , and Shalev, Aner . 2015. “Invariable Generation Of Infinite Groups”. Journal Of Algebra, 421, Pp. 296-310.
Chun Yin Hui, Larsen, Michael , and Shalev, Aner . 2015. “The Waring Problem For Lie Groups And Chevalley Groups”. Israel Journal Of Mathematics, 210, 1, Pp. 81-100.
2014
Martin W Liebeck and Shalev, Aner . 2014. “Bases Of Primitive Linear Groups Ii”. Journal Of Algebra, 403, Pp. 223-228.
Martin Liebeck and Shalev, Aner . 2014. “Power Sets And Soluble Subgroups”. Proceedings Of The American Mathematical Society, 142, 11, Pp. 3757-3760.
2013
Timothy C Burness, Liebeck, Martin W, and Shalev, Aner . 2013. “Generation And Random Generation: From Simple Groups To Maximal Subgroups”. Advances In Mathematics, 248, Pp. 59-95.
Martin Liebeck and Shalev, Aner . 2013. “Powers In Finite Groups And A Criterion For Solubility”. Proceedings Of The American Mathematical Society, 141, 12, Pp. 4179-4189.
Aner Shalev. 2013. “Some Results And Problems In The Theory Of Word Maps”. In Erdős Centennial, Pp. 611-649. Springer.
Michael Larsen, Shalev, Aner , and Tiep, Pham Huu . 2013. “Waring Problem For Finite Quasisimple Groups”. International Mathematics Research Notices, 2013, 10, Pp. 2323-2348.
Nir Avni, Gelander, Tsachik , Kassabov, Martin , and Shalev, Aner . 2013. “Word Values In P‐Adic And Adelic Groups”. Bulletin Of The London Mathematical Society, 45, 6, Pp. 1323-1330.
2012
Aner Shalev. 2012. “Applications Of Some Zeta Functions In Group Theory”. Zeta Functions In Algebra And Geometry, Contemp. Math, 566, Pp. 331-344.
Martin W Liebeck, Shalev, Aner , and Segal, Dan . 2012. “The Density Of Representation Degrees”. Journal Of The European Mathematical Society, 14, 5, Pp. 1519-1537.