Professor Chris Parker

Professor Chris Parker

School of Mathematics
Professor of Pure Mathematics

Contact details

Address
School of Mathematics
Watson Building
University of Birmingham
Edgbaston
Birmingham
B15 2TT
UK

School web page: web.mat.bham.ac.uk/C.W.Parker

Qualifications

  • BSc (Birmingham)
  • MSc (Manchester)
  • PhD (Mathematics, Manchester 1988)

Postgraduate supervision

Chris Parker’s recent research has been focused on theorems designed to recognise simple groups from some fragment of their p-local subgroup structure. These theorems are intended to be used in the projects aimed at understanding the classification of the finite simple group. For example, together with others, he has shown that many of the finite simple groups can be identified from the structure of the centraliser of an element of order $3$. He is also interested in research which applies the classification of finite simple groups. In work with Kay Magaard (Birmingham) and Ben Fairbairn (Birkbeck) he has determined those quasisimple groups which can be used to construct a Beauville surface.

Publications

Recent publications

Article

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 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

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 & 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 2017, 'Fusion systems over a Sylow p-subgroup of G_2(p)', Mathematische Zeitschrift. 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

Parker, C & Stroth, G 2014, 'F4(2) and its automorphism group', Journal of Algebra, vol. 218, no. 5, pp. 852–878. https://doi.org/10.1016/j.jpaa.2013.10.005

Parker, CW & Kanchana, AAC 2014, 'Examples of groups with the same number of subgroups of every index', Journal of Siberian Federal University - Mathematics and Physics, vol. 7, no. 1, pp. 95-99.

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

Comment/debate

Fairbairn, B, Magaard, K & Parker, C 2013, 'Erratum: Generation of finite quasisimple groups with an application to groups acting on beauville surfaces (Proc. London Math Soc. (2013) 107:3 (744-798)', Proceedings of the London Mathematical Society, vol. 107, no. 5. https://doi.org/10.1112/plms/pdt037

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