Professor Chris Parker BSc MSc PhD

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. 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 & Rowley, P 2021, '2-minimal subgroups of orthogonal groups', Journal of Algebra. https://doi.org/10.1016/j.jalgebra.2021.09.028

Parker, C & Stroth, G 2021, 'On the P-tilde uniqueness theorem', Archiv der Mathematik.

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

Parker, C & Stroth, G 2014, 'An improved 3-local characterization of McL and its automorphism group', Journal of Algebra, vol. 406, pp. 69-90. https://doi.org/10.1016/j.jalgebra.2014.02.011

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

Chapter

Capdeboscq, I & Parker, C 2015, What are the C₂-groups? in Groups St Andrews 2013. Cambridge University Press, pp. 194-208. https://doi.org/10.1017/CBO9781316227343.012

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