Professor Eamonn O'Brien


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Research | Current

  • Group theory
  • Computational algebra

Postgraduate supervision

Projects on offer

  • Automorphism groups of finite groups (Reading and/or Project)
  • Computational aspects of group representation theory (Reading and/or Project)
  • Finitely-presented groups (Reading and/or Project)


Fellow of the Royal Society of New Zealand

Alexander von Humboldt Research Fellow


Selected publications and creative works (Research Outputs)

  • Fawcett, J. B., Mueller, J., O'Brien EA, & Wilson, R. A. (2019). Regular orbits of sporadic simple groups. JOURNAL OF ALGEBRA, 522, 61-79. 10.1016/j.jalgebra.2018.11.034
  • Guralnick, R. M., Liebeck, M. W., O'Brien EA, Shalev, A., & Tiep, P. H. (2018). Surjective word maps and Burnside's theorem. INVENTIONES MATHEMATICAE, 213 (2), 589-695. 10.1007/s00222-018-0795-z
  • Gonshaw, S., Liebeck, M. W., & O'Brien EA (2017). Unipotent class representatives for finite classical groups. Journal of Group Theory, 20 (3), 505-525. 10.1515/jgth-2016-0047
  • O'Brien EA, & Vojtechovsky, P. (2017). Code loops in dimension at most 8. Journal of Algebra, 473, 607-626. 10.1016/j.jalgebra.2016.11.006
  • Breuer, T., Malle, G., & O'Brien EA (2017). Reliability and reproducibility of Atlas information. Paper presented at International Conference on Finite Simple Groups: Thirty Years of the Atlas and Beyond - Celebrating the Atlases and Honoring John Conway, Princeton Univ, Princeton, NJ. 2 November - 5 November 2015. FINITE SIMPLE GROUPS: THIRTY YEARS OF THE ATLAS AND BEYOND. (pp. 11). 10.1090/conm/694/13960
  • Liebeck, M. W., & O'Brien EA (2016). Recognition of finite exceptional groups of lie type. Transactions of the American Mathematical Society, 368 (9), 6189-6226. 10.1090/tran/6534
  • Fawcett, J. B., O'Brien EA, & Saxl, J. (2016). Regular orbits of symmetric and alternating groups. Journal of Algebra, 458, 21-52. 10.1016/j.jalgebra.2016.02.018
  • O'Brien EA, & Voll, C. (2015). Enumerating classes and characters of p-groups. Transactions of the American Mathematical Society, 367 (11), 7775-7796. 10.1090/tran/6276

Contact details

Primary office location

Level 2, Room 205
New Zealand

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