# Colva M. Roney-Dougal - Publications

*Generating sets of finite groups,*with P.J. Cameron and A. Lucchini. Trans. Amer. Math. Soc. To appear.*On the generating graph of a simple group*, with A. Lucchini and A. Maroti. J. Aust. Math. Soc., 103 (2017) 91-103.*Groups St Andrews 2013 in St Andrews.*Edited by C.M Campbell, M.R. Quick, E.F. Robertson and C.M.Roney-Dougal. LMS Lecture Note Series 422, Cambridge University Press 2016.*A note on the probability of generating alternating or symmetric groups,*with L. Morgan. Arch. Math. (Basel) 105 (2015), 201-204.-
*Coprime invariable generation and minimal-exponent groups,*with E. Detomi and A. Lucchini. Journal of Pure and Applied Algebra 219 (2015), 3453-3465. -
*An explicit upper bound for the Helfgott delta in SL(2, p),*with J. Button. J. Algebra, 421 (2015), 493-511. -
*On the probability of generating a monolithic group,*with E. Detomi and A. Lucchini. J. Algebra, 407 (2014), 413-433. -
*The maximal subgroups of the low-dimensional finite classical groups,*with J.N.Bray and D.F.Holt. LMS Lecture Note Series 407, Cambridge University Press, 2013, 450pp. -
*The probability of generating a finite simple group,*with N.E. Menezes and M. Quick. Israel J. Math, 198 (2013) 371-392. -
*Minimal and random generation of permutation and matrix groups,*with D.F. Holt. J. Algebra, 387 (2013) 195-214. -
*Groups St Andrews 2009 in Bath. Volume I.*Edited by C.M. Campbell, M.R. Quick, E.F. Robertson, C.M. Roney-Dougal, G.C. Smith and G. Traustason. LMS Lecture note Series 387, Cambridge University Press 2011. -
*Groups St Andrews 2009 in Bath. Volume II.*Edited by C.M. Campbell, M.R. Quick, E.F. Robertson, C.M. Roney-Dougal, G.C. Smith and G. Traustason. LMS Lecture note Series 387, Cambridge University Press 2011. -
*Constructive homomorphisms for classical groups,*with S. H. Murray. Journal of Symbolic Computation, 46 (2011) 371-384. -
*The primitive groups of degree less than 4096,*with H. J. Coutts and M. Quick. Comm. Algebra, 39 (2011) 3526-3546. -
*Constructing maximal subgroups of orthogonal groups,*with D. F. Holt. LMS Journal of Computation and Mathematics, 13 (2010) 164-191. -
*Minimal ordering constraintsfor some families of variable symmetries,*with A. Grayland, C. Jefferson and I. Miguel. Annals of Mathematics and Artificial Intelligence, 57 (2009) 75--102. -
*Snake Lex: An alternative to Double Lex,*with A. Grayland and I. Miguel. Proceedings of CP2009, Springer 2009. -
*In search of a better method to break row and column symmetries,*with A. Grayland and I. Miguel. Proceedings of SARA 09. -
*Confluence of reduction rules for lexicographic ordering constraints,*with A. Grayland and I. Miguel. Proceedings of SARA 09. -
*A polynomial-time reduction algorithm for groups of semilinear or subfield class,*with J. Carlson and M. Neunhoeffer. J. Algebra. 322, (2009), 613-637. -
*Surveys in Combinatorics, 2009,*with S.Huczynska and J.D.Mitchell (eds). LMS Lecture Note Series, 365, Cambridge University Press 2009. -
*Certain classical groups are not well-defined,*with J.N.Bray and D.F.Holt. Journal of Group Theory, 12 (2009) 171-180. -
*Confluence of reduction rules for lexicographic ordering constraints,*with A.Grayland and I.Miguel. Proceedings of SymCon08, 2008. -
*Groupoids and Conditional Symmetry,*with I.P.Gent, T.Kelsey, J.Pearson and S.Linton. Proceedings of CP2007. Springer, 2007. -
*Minimal Ordering Constraints for some Families of Variable Symmetries,*with A.Grayland and I.Miguel. Proceedings of SymCon07, 2007. -
*Rule 1,2-Minimal Ordering Constraints for some Families of Variable Symmetries,*with A.Grayland and I.Miguel. Proceedings of International Symmetry Conference, Edinburgh 2007. -
*Computing the primitive permutation groups of degree less than 1000,*with W.R.Unger, in ``Discovering Mathematics with Magma", Springer, 2006. -
*Symmetry and Consistency*, with Ian Gent, Tom Kelsey and Steve Linton. Proceedings of CP2005. Springer, 2005. -
*The primitive groups of degree less than 2500*. J.Algebra. 292, (2005), 154-183. -
*Constructing maximal subgroups of classical groups,*with Derek F. Holt. LMS Journal of Computation and Mathematics, 8, (2005) 46-79. Available from the LMS website . An early version appeared as CIRCA preprint 2004/5 -
*New developments in symmetry breaking in search using computational group theory,*with Tom Kelsey and Steve Linton. Proceedings of AISC 2004, Springer, 2004. Also available as a CIRCA preprint 2004/6 -
*Tractable symmetry breaking using restricted search trees,*with Ian P. Gent, Tom Kelsey and Steve Linton. Proceedings of ECAI-2004. Also available as a CIRCA preprint 2004/3 -
*Conjugacy of subgroups of the general linear group.*Experimental Mathematics, 13 (2), 2004. Also available as a CIRCA preprint 2004/2 -
*Affine groups with two self-paired orbitals.*Communications in Algebra. 31, No.9, 4359-4370 (2003). -
*The affine primitive permutation groups of degree less than 1000,*with W.R. Unger. Journal of Symbolic Computation, 35, (2003) 421--439. -
*Groups with a unique nondiagonal self-paired orbital*. Journal of Group Theory, 5 (2002) 285-292 -
*Permutation groups with a unique nondiagonal self-paired orbital.*PhD Thesis. University of London, 2001.