Highlight publications
Parker, C & Semeraro, J 2019, 'Fusion systems on maximal class 3-groups of rank two revisited', Proceedings of the American Mathematical Society, vol. 147, no. 9, pp. 3773–3786. https://doi.org/10.1090/proc/14552
Parker, C & Semeraro, J 2021, 'Algorithms for fusion systems with applications to p-groups of small order', Mathematics of Computation, vol. 90, no. 331, pp. 2415-2461. https://doi.org/10.1090/mcom/3634
Parker, C, Pientka, G, Seidel, A & Stroth, G 2021, 'Finite groups which are almost groups of Lie type in characteristic p', Memoirs of the American Mathematical Society.
Parker, C & Stroth, G 2020, 'The Local Structure Theorem, the non-characteristic 2 case', London Mathematical Society. Proceedings , vol. 120, no. 4, pp. 465-513. https://doi.org/10.1112/plms.12291
Recent publications
Book
Cambell, C, Parker, C, Quick, M, Robertson, E & Roney-Dougal, CM 2019, Groups St Andrews 2017 in Birmingham. vol. 455, London Mathematical Society Lecture Note Series edn, Cambridge University Press.
Article
Parker, C & Saunders, J 2023, 'Squares of conjugacy classes and a variant on the Baer-Suzuki Theorem', Israel Journal of Mathematics. <https://arxiv.org/pdf/2210.06962>
Parker, C & Stroth, G 2022, 'On the P~!-theorem', Archiv der Mathematik, vol. 118, no. 2, pp. 123-132. https://doi.org/10.1007/s00013-021-01675-0
Parker, C & Grazian, V 2022, 'Saturated fusion systems on p-groups of maximal class', Memoirs of the American Mathematical Society.
Parker, C & Rowley, P 2021, '2-minimal subgroups of orthogonal groups', Journal of Algebra. https://doi.org/10.1016/j.jalgebra.2021.09.028
Meierfrankenfeld, U, Parker, C & Rowley, P 2021, 'Rank one isolated p-minimal subgroups in finite groups', Journal of Algebra, vol. 566, pp. 1-93. https://doi.org/10.1016/j.jalgebra.2020.08.017
Parker, C & Rowley, P 2021, 'The 2-minimal subgroups of symplectic groups', Journal of Pure and Applied Algebra, vol. 225, no. 9, 106643. https://doi.org/10.1016/j.jpaa.2020.106643
Parker, C & Rowley, P 2020, '2-minimal subgroups of monomial, linear and unitary groups', Journal of Algebra, vol. 543, pp. 1-53. https://doi.org/10.1016/j.jalgebra.2019.10.003
Parker, C & Stroth, G 2019, 'The local structure theorem: the wreath product case', Journal of Algebra. https://doi.org/10.1016/j.jalgebra.2019.08.013
Parker, C & Semeraro, J 2018, 'Fusion systems over a Sylow p-subgroup of G2(p)', Mathematische Zeitschrift, vol. 289, no. 1-2, pp. 629–662. https://doi.org/10.1007/s00209-017-1969-x
Delizia , C, Parker, C, Moravec, P, Nicotera, C & Jezernik, U 2017, 'Locally finite groups in which every non-cyclic subgroup is self-centralizing', Journal of Pure and Applied Algebra, vol. 221, no. 2, pp. 401–410. https://doi.org/10.1016/j.jpaa.2016.06.015
Parker, C & Stroth, G 2016, 'A 2-local identification of PΩ8+(3)', Journal of Pure and Applied Algebra, vol. 220, no. 10. https://doi.org/10.1016/j.jpaa.2016.04.006
Parker, C, Stroth, G & Salarian, R 2015, 'A characterisation of almost simple groups with socle 2E6(2) or M(22)', Forum Math, vol. 27, no. 5, pp. 2853–2899. https://doi.org/10.1515/forum-2013-0055
Parker, C 2015, 'A family of fusion systems related to the groups Sp4(pa) and G2(pa)', Archiv der Mathematik, vol. 104, no. 4, pp. 311-323. https://doi.org/10.1007/s00013-015-0751-8
Chapter (peer-reviewed)
Magaard, K & Parker, C 2015, Remarks on lifting Beauville structures of quasisimple groups. in I Bauer, S Garion & A Vdovina (eds), Beauville Surfaces and Groups. Springer Proceedings in Mathematics & Statistics, Springer, pp. 121-128, Beauville Surfaces and Groups Conference, 2012, Newcastle upon Tyne, United Kingdom, 7/06/12. https://doi.org/10.1007/978-3-319-13862-6_8
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