RESPONSIBILITIES:
Deputy Head of School
Editor of the Journal of Group Theory
Midlands Region representative of the London Mathematical Society

RESEARCH INTERESTS:
My main research interests are in group theory.

Recently I have been focussing on theorems designed to recognise simple groups from some fragment of their p-local subgroup structure. For example together with Wiedorn I have shown that the Monster simple group can be identified from its 5- and 7-local subgroups and that the Baby Monster and the Harada Norton group can be recognized from their 5-local subgroup structure. I have also recently identified the local characteristic p completions of weak BN pairs.

PUBLICATIONS (SELECTED):
A full listing can be found at  
                             http://web.mat.bham.ac.uk/C.W.Parker/bib.htm

CW Parker. 2005. A 3-local characterization of \U_6(2) and \Fi_{22}, Journal of Algebra

CW Parker, JN Bray, RT Curtis and C Wiedorn. Symmetric presentations of the Fischer groups II, Geom. Ded., 112, vol.1, 1-23

CW Parker and C Wiedorn. 2004. A 5-local identification of the Monster, Archiv Math, 83, No.5, 404-415

CW Parker and C Wiedorn. 2005. A 7-local identification of the Monster, Nagoya Math. Journal, 178, 129—149

CW Parker and P Rowley. 2004. A characteristic 5 identification of the Lyons group, Journal of London Mathematical Society, (2) 69, No.1, 128—140

CW Parker, G Parmeggiani and B Stellmacher. 2003. The P!-Theorem, Journal of Algebra, 263, No.1, 17—58

CW Parker and P Rowley. 2002. Symplectic Amalgams, Springer-Verlag London Ltd., London (361 pages).

LINKS:
Personal Web Page:     http://web.mat.bham.ac.uk/C.W.Parker