Professor Chris Parker

Professor Chris Parker

School of Mathematics
Professor of Pure Mathematics

Contact details

School of Mathematics
Watson Building
University of Birmingham
B15 2TT

School web page:


  • 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.


Recent publications


Parker, C & Semeraro, J 2021, 'Algorithms for fusion systems with applications to p-groups of small order', Mathematics of Computation.

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.

Meierfrankenfeld, U, Parker, C & Rowley, P 2021, 'Rank one isolated p-minimal subgroups in finite groups', Journal of Algebra, vol. 566, pp. 1-93.

Parker, C & Rowley, P 2020, '2-minimal subgroups of monomial, linear and unitary groups', Journal of Algebra, vol. 543, pp. 1-53.

Parker, C & Rowley, P 2021, 'The 2-minimal subgroups of symplectic groups', Journal of Pure and Applied Algebra, vol. 225, no. 9, 106643.

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.

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.

Parker, C & Stroth, G 2019, 'The local structure theorem: the wreath product case', Journal of Algebra.

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.

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.

Parker, C & Stroth, G 2016, 'A 2-local identification of PΩ8+(3)', Journal of Pure and Applied Algebra, vol. 220, no. 10.

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.

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.

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.


Capdeboscq, I & Parker, C 2015, What are the C2-groups? in Groups St Andrews 2013. Cambridge University Press, pp. 194-208.

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