Papers

By Khalid Bou-Rabee

  1. Baumslag-Solitar relations in abstract commensurators of free groups, K. Bou-Rabee and S. Young, preprint.
  2. Residual finiteness growths of lamplighter groups, K. Bou-Rabee, J. Chen, and A. Timashova, preprint.
  3. The Extrinsic Primitive Torsion Problem, K. Bou-Rabee and W. Patrick Hooper, to appear in Algebr. Geom. Topol.
  4. Arithmetic lattices in unipotent algebraic groups, K. Bou-Rabee and D. Studenmund, to appear in J. Group Theory.
  5. Commensurability growths of branch groups, K. Bou-Rabee, D. Studenmund, and R. Skipper, to appear in Pacific J. Math.
  6. Abstract commensurators of surface groups, K. Bou-Rabee and D. Studenmund, to appear in J. Topology Anal.
  7. Commensurability growths of algebraic groups, K. Bou-Rabee, T. Kaletha, and D. Studenmund, to appear in Math. Z.
  8. Expected depth of random walks on groups, K. Bou-Rabee, I. Manolescu, and A. Myropolska, Pacific J. Math. 298-2 (2019), 267--284.
  9. The topology of local commensurability graphs, K. Bou-Rabee and D. Studenmund, New York J. Math. 24 (2018) 429–442. Accompanying GAP code, Mathematica notebook, and data.
  10. Estimating the primitivity index function from below by the residual finiteness growth function, Appendix to "The Primitivity Index Function for a free group, and untangling closed curves on hyperbolic surfaces" Math. Proc. Camb. Phil. Soc. Volume 166, Issue 1 January 2019 , pp. 83-121.
  11. Quotients of mapping class groups from Out(Fn), K. Bou-Rabee and C. Leininger, Proc. Amer. Math. Soc. 146 (2018), no. 12, 5091–5096.
  12. Linear groups with Borel's property, K. Bou-Rabee and M. Larsen, J. Eur. Math. Soc. (JEMS) 19(2017), no. 5, 1293-1330.
  13. Groups with near exponential residual finiteness growths, K. Bou-Rabee and A. Myropolska, Israel J. Math. 221 (2017), no. 2, 687-703.
  14. Intersection growth in groups, K. Bou-Rabee, I. Biringer, M. Kassabov, and F. Matucci, Trans. Amer. Math. Soc. 369 (2017), no. 12, 8343-8367.
  15. Local commensurability graphs of solvable groups, K. Bou-Rabee and C. Shi, Comm. in Algebra 45 (2017), no. 10, 4370-4379.
  16. Weakly maximal subgroups in regular branch groups, K. Bou-Rabee, P.-H. Leemann and T. Smirnova-Nagnibeda, J. Algebra. 455 (2016), 347-357.
  17. Characterizing linear groups in terms of growth properties, K. Bou-Rabee and D. B. McReynolds, Michigan Math. J. 65 (2016), no. 3, 599-611.
  18. Systolic growth of linear groups, K. Bou-Rabee and Y. Cornulier, Proc. Amer. Math. Soc., 144 (2016), no. 2, 529-533.
  19. Full residual finiteness growths of nilpotent groups, K. Bou-Rabee and D. Studenmund, Israel J. Math. 214 (2016), no. 1, 209-233.
  20. Residual finiteness growths of virtually special groups, K. Bou-Rabee, M. F. Hagen and P. Patel, Math. Z., 279 (2015), no. 1-2, 297-310.
  21. Extremal behavior of divisibility functions, K. Bou-Rabee and D. B. McReynolds, Geometriae Dedicata Volume 175, Issue 1 (2015) 407-415.
  22. Arbitrarily large residual finiteness growth, K. Bou-Rabee and B. Seward, J. Reine Angew. Math. (2014) 2014 Vol: 0(0):.
  23. Generalizing Magnus' characterization of free groups to some free products, K. Bou-Rabee and B. Seward, Comm. in Algebra 42 (9), 3950-3962, 2014.
  24. Quantifying residual finiteness of arithmetic groups, K. Bou-Rabee and T. Kaletha, Compos. Math. 148 (03), 907-920, 2012. 10, 2012.
  25. Approximating a group by its solvable quotients, New York J. Math. 17 (2011) 699–712.
  26. Simple closed curves, word length, and nilpotent quotients of free groups, K. Bou-Rabee and A. Hadari, Pacific J. Math. 254 (1), 67-72, 2012.
  27. Asymptotic growth and least common multiples in groups, K. Bou-Rabee and D. B. McReynolds, Bull. London Math. Soc. (2011) 43 (6): 1059-1068.
  28. Bertrand's postulate and subgroup growth, K. Bou-Rabee and D. B. McReynolds, J. Algebra 324 (4), 793-819 2010.
  29. Parasurface groups, Pacific J. Math. 248 (1), 23-30, 2010.
  30. Quantifying residual finiteness, J. Algebra 323 (3), 729-737 2010.