# Publications and Working Papers

For an overview of my research interests click here.

*A note on filled groups*, by Chimere Anabanti and Sarah Hart, Birkbeck Pure Mathematics Preprint Series Preprint 17.by Chimere Anabanti and Sarah Hart (2015),*On a conjecture of Street and Whitehead on locally maximal product-free sets*,*Australasian Journal of Combinatorics*63, pp. 385-398.*Locally Maximal Product-free sets of size 3*, by Chimere Anabanti and Sarah Hart (2015), Birkbeck Pure Mathematics Preprint Series Preprint 10.*On excess in finite Coxeter groups.**J. Pure Appl. Algebra*219 (2015), no. 5, 1657–1669., with Peter Rowley.*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.-
*Involution Statistics in Finite Coxeter Groups,*by Sarah B. Hart and Peter J. Rowley (2014), Birkbeck Pure Mathematics Preprint Series Preprint 4.*X**-posets of certain Coxeter groups.*Taiwanese J. Math. 17 (2013), no. 6, 1901–1919, with Peter Rowley.-
*Zero excess and minimal length in finite coxeter groups.*, J. Group Theory, Volume 15, Issue 4, Pages 497–512 (2012), with Peter Rowley. *Maximal length parabolic subgroups in finite Coxeter groups.*-
*On cosets in coxeter groups*, Turk. J. Math., 36, (2012), 77-93, with Peter Rowley. *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!)-
*Involution products in Coxeter groups.*J. Group Theory 14 (2011), no.2, 251 – 259, with Peter Rowley. -
*Lengths of parabolic subgroups of finite coxeter groups*. Int. Elec. J. Algebra 9 (2011), 10–37, with Peter Rowley. *Small maximal sum-free sets,*Electron. J. Combin. 16 (2009), no. 1, Research Paper 59, 17 pp. with Michael Giudici.-
*The case of equality in the Livingstone-Wagner Theorem*, J. Alg. Comb. 29 (2009), no. 2, 215-227 with David Bundy. *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.- Poincaré series of cosets in Coxeter groups, Alg. Colloquium.
**16**: 4 (2009) 567-574, with Peter Rowley. -
*Commuting involution graphs for sporadic simple groups*, J. Algebra, 316, Issue 2 (2007), 849-868, with Chris Bates, David Bundy and Peter Rowley. *Lengths of subsets in coxeter groups,*Turk J. Math 31 (2007), 1-15, with Peter Rowley.-
*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. *Commuting involution graphs forÃn*, Arch. Math. 86 (2006), no. 1,16-25.*Root differences in Ãn*, Arch. Math. 85 (2005) , no. 4, 313-317, with Chris Bates, David Bundy and Peter Rowley.*Bad Upward Elements in Infinite Coxeter Groups*, Adv. in Geom., 4 (2004), 497-511, with Peter Rowley.*On Negative Orbits of Finite Coxeter Groups*, J. Alg. Comb. 20, No.1, 17-31 (2004), with Peter Rowley.*Coxeter Length*, J. Algebra 273 (2004), no.1, 344-358, with Peter Rowley.*On Commuting Involution Graphs in Special Linear Groups*, Comm. Algebra 32, No.11, 4179-4196 (2004), with Chris Bates, David Bundy and Peter Rowley.*Dominance in the Root Systems of Coxeter Groups*, working paper (2006).*Lengths of Involutions in Coxeter Groups*, J. Lie Theory 14, 69-71 (2004), with Peter Rowley.*Commuting involution graphs for symmetric groups*, J. Algebra 266 (2003), no. 1, 133-153, with Chris Bates, David Bundy and Peter Rowley.*Commuting Involution Graphs in Finite Coxeter Groups*, J. Group Theory 6 (2003), no. 4, 461-476, with Chris Bates, David Bundy and Peter Rowley.*Evil Elements in Coxeter Groups*, J. Algebra 251, 538-559 (2002), with Peter Rowley.*Minimal and Maximal Length Involutions in Finite Coxeter Groups*, Comm. Alg. 30(3) 1273-1292 (2002), with Peter Rowley.