Document Actions

Publications and Working Papers

For an overview of my research interests click here.

  1. A note on filled groups, by Chimere Anabanti and Sarah Hart, Birkbeck Pure Mathematics Preprint Series Preprint 17.
  2. On a conjecture of Street and Whitehead on locally maximal product-free sets, by Chimere Anabanti and Sarah Hart (2015), Australasian Journal of Combinatorics 63, pp. 385-398.
  3. Locally Maximal Product-free sets of size 3, by Chimere Anabanti and Sarah Hart (2015), Birkbeck Pure Mathematics Preprint Series Preprint 10.
  4. On excess in finite Coxeter groups. J. Pure Appl. Algebra 219 (2015), no. 5, 1657–1669., with Peter Rowley.
  5. A Fast Search Algorithm for (m, m, m)  Triple Product Property Triples and an Application for 5 × 5 Matrix Multiplication, Groups Complex. Cryptol. 7 (2015), no. 1, 31–46., with Ivo Hedtke, Matthias Müller-Hannemann and Sandeep Murthy.
  6. Maximal Length Elements of Excess Zero in Finite Coxeter Groups, by Sarah B. Hart and Peter J. Rowley (2014), Birkbeck Pure Mathematics Preprint Series Preprint 6.
  7. Involution Statistics in Finite Coxeter Groups, by Sarah B. Hart and Peter J. Rowley (2014), Birkbeck Pure Mathematics Preprint Series Preprint 4.
  8. X -posets of certain Coxeter groups. Taiwanese J. Math. 17 (2013), no. 6, 1901–1919, with Peter Rowley.
  9. Zero excess and minimal length in finite coxeter groups., J. Group Theory, Volume 15, Issue 4, Pages 497–512 (2012), with Peter Rowley.
  10. Maximal length parabolic subgroups in finite Coxeter groups. JP J. Algebra Number Theory Appl. Volume 24, Number 2, (2012), Pages 179-196, with Peter Rowley.
  11. On cosets in coxeter groups, Turk. J. Math., 36, (2012), 77-93, with Peter Rowley.
  12. Corrigendum to Involution products in Coxeter groups [J. Group Theory 14 (2011), no. 2, 251–259] J. Group Theory 17 (2014), no. 2, 379–380. (oops!)
  13. Involution products in Coxeter groups. J. Group Theory 14 (2011), no.2, 251 – 259, with Peter Rowley.
  14. Lengths of parabolic subgroups of finite coxeter groups. Int. Elec. J. Algebra 9 (2011), 10–37, with Peter Rowley.
  15. Small maximal sum-free sets, Electron. J. Combin. 16 (2009), no. 1, Research Paper 59, 17 pp. with Michael Giudici.
  16. The case of equality in the Livingstone-Wagner Theorem, J. Alg. Comb. 29 (2009), no. 2, 215-227 with David Bundy.
  17. A note on commuting graphs for symmetric groups, Electron. J. Combin. 16 (2009), no. 1, Research Paper 6, 13 pp. with Chris Bates, David Bundy and Peter Rowley.
  18. Poincaré series of cosets in Coxeter groups, Alg. Colloquium. 16 : 4 (2009) 567-574, with Peter Rowley.
  19. Commuting involution graphs for sporadic simple groups, J. Algebra, 316, Issue 2 (2007), 849-868, with Chris Bates, David Bundy and Peter Rowley.
  20. Lengths of subsets in coxeter groups, Turk J. Math 31 (2007), 1-15, with Peter Rowley.
  21. Primitive k-free permutation groups, Arch. Math. 88(2007), 193-198, with Chris Bates, David Bundy and Peter Rowley. Note that papers published up to and including 2006 appear in my maiden name of Perkins.
  22. Commuting involution graphs forÃn, Arch. Math. 86 (2006), no. 1,16-25.
  23. Root differences in Ãn, Arch. Math. 85 (2005) , no. 4, 313-317, with Chris Bates, David Bundy and Peter Rowley.
  24. Bad Upward Elements in Infinite Coxeter Groups, Adv. in Geom., 4 (2004), 497-511, with Peter Rowley.
  25. On Negative Orbits of Finite Coxeter Groups, J. Alg. Comb. 20, No.1, 17-31 (2004), with Peter Rowley.
  26. Coxeter Length, J. Algebra 273 (2004), no.1, 344-358, with Peter Rowley.
  27. On Commuting Involution Graphs in Special Linear Groups, Comm. Algebra 32, No.11, 4179-4196 (2004), with Chris Bates, David Bundy and Peter Rowley.
  28. Dominance in the Root Systems of Coxeter Groups, working paper (2006).
  29. Lengths of Involutions in Coxeter Groups, J. Lie Theory 14, 69-71 (2004), with Peter Rowley.
  30. Commuting involution graphs for symmetric groups, J. Algebra 266 (2003), no. 1, 133-153, with Chris Bates, David Bundy and Peter Rowley.
  31. Commuting Involution Graphs in Finite Coxeter Groups, J. Group Theory 6 (2003), no. 4, 461-476, with Chris Bates, David Bundy and Peter Rowley.
  32. Evil Elements in Coxeter Groups, J. Algebra 251, 538-559 (2002), with Peter Rowley.
  33. Minimal and Maximal Length Involutions in Finite Coxeter Groups, Comm. Alg. 30(3) 1273-1292 (2002), with Peter Rowley.

Contact details

Phone: +44 (0) 20 7631 6437
Email: s.hart@bbk.ac.uk
Room: 753
Office Hours:Fridays 4:30 - 5:45

Professor Hart's inaugural lecture