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Article

Carta, Ludovico and Fairbairn, Ben (2022) Generalised Beauville Groups. Journal of Group Theory 25 (2), pp. 355-377. ISSN 1435-4446.

Fairbairn, Ben (2019) Purely (Non-)Strongly Real Beauville Groups. Archiv der Mathematik 112 (4), pp. 337-345. ISSN 0003-889X.

Fairbairn, Ben (2017) A new infinite family of non-abelian strongly real Beauville p-groups for every odd prime p. Bulletin of the London Mathematical Society 49 (5), pp. 749-754. ISSN 0024-6093.

Fairbairn, Ben (2017) Louis Joel Mordell's time in London. BSHM Bulletin: Journal of the British Society for the History of Mathematics 32 (2), pp. 160-169. ISSN 1749-8430.

Fairbairn, Ben (2015) Coxeter Groups as Beauville Groups. Monatshefte fur Mathematik 181 (4), pp. 761-777. ISSN 0026-9255.

Fairbairn, Ben and Pierro, Emilio (2015) New examples of Mixed Beauville Groups. Journal of Group Theory 18 (5), pp. 761-792. ISSN 1435-4446.

Cameron, P. and Fairbairn, Ben and Gadouleau, M. (2014) Computing in matrix groups without memory. Chicago Journal of Theoretical Computer Science , ISSN 1073-0486.

Cameron, P. and Fairbairn, Ben and Gadouleau, M. (2014) Computing in permutation groups without memory. Chicago Journal of Theoretical Computer Science 2014 (7), ISSN 1073-0486.

Fairbairn, Ben and Magaard, K. and Parker, C. (2013) Generation of finite quasisimple groups with an application to groups acting on Beauville surfaces. Proceedings of the London Mathematical Society 107 (4), pp. 744-798. ISSN 0024-6115.

Fairbairn, Ben and Barker, N. and Boston, N. (2012) A note on Beauville p-groups. Experimental Mathematics 21 (3), pp. 298-306. ISSN 1058-6458.

Fairbairn, Ben (2012) Some exceptional Beauville structures. Journal of Group Theory 15 (5), pp. 631-639. ISSN 1435-4446.

Fairbairn, Ben (2012) New upper bounds on the spreads of the sporadic simple groups. Communications in Algebra 40 (5), pp. 1872-1877. ISSN 0092-7872.

Fairbairn, Ben (2012) The exact spread of M23 is 8064. International Journal of Group Theory 1 (1), pp. 1-2. ISSN 2251-7650.

Fairbairn, Ben (2011) Symmetric Presentations of Coxeter Groups. Proceedings of the Edinburgh Mathematical Society 54 (3), pp. 669-683. ISSN 0013-0915.

Fairbairn, Ben (2010) Some design theoretic results on the Conway group ·0. Electronic Journal of Combinatorics 17 (R18), pp. 1-11. ISSN 1077-8926.

Fairbairn, Ben and Curtis, R. (2009) Symmetric representation of the elements of the Conway group .0. Journal of Symbolic Computation 44 (8), pp. 1044-1067. ISSN 0747-7171.

Fairbairn, Ben and Muller, J. (2009) Symmetric generation of coxeter groups. Archiv der Mathematik 93 (1), pp. 1-10. ISSN 0003-889X.

Book Section

Fairbairn, Ben (2020) Strongly Real Beauville Groups III. In: Neumann, F. and Schroll, S. (eds.) Galois Covers, Grothendieck-Teichmüller Theory and Dessins d'Enfants - Interactions between Geometry, Topology, Number Theory and Algebra, Leicester, UK, June 2018. Springer Proceedings in Mathematics & Statistics 330. Springer, pp. 1-22. ISBN 9783030517946.

Fairbairn, Ben (2016) More on Strongly Real Beauville Groups. In: Širáň, J. and Jacjay, R. (eds.) Symmetries in Graphs, Maps and Polytopes: 5th SIGMAP Workshop, West Malvern, UK, July 2014. Springer Proceedings in Mathematics & Statistics 159. Springer, pp. 129-148. ISBN 9783319304496.

Fairbairn, Ben (2015) Strongly real Beauville groups. In: Bauer Catanese, I. and Garion, S. and Vdovina, A. (eds.) Beauville Surfaces and Groups. Springer Proceedings In Mathematics and Statistics 123 123. Berlin, Germany: Springer, pp. 41-61. ISBN 9783319138619.

Fairbairn, Ben (2014) Recent work on Beauville surfaces, structures and groups. In: Campbell, C.M. and Quick, M.R. and Robertson, E.F. and Roney-Dougal, C.M. (eds.) Proceedings of Groups St Andrews 2013. Cambridge University Press. (Unpublished)

Fairbairn, Ben (2011) Recent progress in the symmetric generation of groups. In: Campbell, C.M. and Quick, M.R. and Robertson, E.F. and Roney-Dougal, C.M. and Smith, G.C. and Traustason, G. (eds.) Groups St Andrews 2009 in Bath. London Mathematical Society Lecture Note Series 2 388. Cambridge, UK: Cambridge University Press, pp. 384-394. ISBN 9780521279031.

Monograph

Fairbairn, Ben (2018) Purely (Non-)Strongly Real Beauville Groups. Technical Report. Birkbeck, University of London, London, UK.

Fairbairn, Ben (2017) Beauville p-groups: a survey. Technical Report. Birkbeck, University of London, London, UK.

Fairbairn, Ben (2016) Louis Joel Mordell's time in London. Technical Report. Birkbeck, University of London, London, UK.

Fairbairn, Ben (2016) Some examples related to Conway Groupoids and their generalisations. Technical Report. Birkbeck, University of London, London, UK.

Fairbairn, Ben (2016) A new infinite family of non-abelian strongly real Beauville p-groups for every odd prime p. Technical Report. Birkbeck, University of London, London, UK.

Fairbairn, Ben (2015) Hypercubes as dessins d'enfant. Technical Report. Birkbeck, University of London, London, UK.

Fairbairn, Ben (2015) Coxeter Groups as Beauville Groups. Technical Report. Birkbeck, University of London, London, UK.

Fairbairn, Ben and Pierro, E. (2015) New examples of mixed Beauville groups. Technical Report. Birkbeck, University of London, London, UK.

Cameron, P.J. and Fairbairn, Ben and Gadoleau, M. (2014) Computing in Matrix Groups without memory. Technical Report. Birkbeck, University of London, London, UK.

Cameron, P.J. and Fairbairn, Ben and Gadoleau, M. (2014) Computing in permutation groups without memory. Technical Report. Birkbeck, University of London, London, UK.

Fairbairn, Ben (2014) More on Strongly Real Beauville Groups. Technical Report. Birkbeck, University of London, London, UK.

Conference or Workshop Item

Fairbairn, Ben (2016) Some examples related to Conway Groupoids. In: Finite Simple Groups: Thirty Years of the Atlas and Beyond Celebrating the Atlases and Honoring John Conway, 2-5 Nov 2015, Princeton, U.S.. (Unpublished)