The diameter of the commuting graph of a finite group with trivial centre GL Morgan, CW Parker Journal of algebra 393, 41-59, 2013 | 75 | 2013 |

There is no upper bound for the diameter of the commuting graph of a finite group M Giudici, C Parker Journal of Combinatorial Theory, Series A 120 (7), 1600-1603, 2013 | 54 | 2013 |

Symplectic amalgams C Parker, P Rowley Springer Science & Business Media, 2012 | 54 | 2012 |

The commuting graph of a soluble group C Parker Bulletin of the London mathematical society 45 (4), 839-848, 2013 | 46 | 2013 |

Recognising simplicity of black-box groups by constructing involutions and their centralisers CW Parker, RA Wilson Journal of Algebra 324 (5), 885-915, 2010 | 44* | 2010 |

Generation of finite quasisimple groups with an application to groups acting on Beauville surfaces B Fairbairn, K Magaard, C Parker Proceedings of the London Mathematical Society 107 (4), 744-798, 2013 | 37 | 2013 |

A design and a code invariant under the simple group Co3 WH Haemers, C Parker, V Pless, VD Tonchev Journal of Combinatorial Theory, Series A 62 (2), 225-233, 1993 | 33 | 1993 |

Designs with the symmetric difference property on 64 points and their groups C Parker, E Spence, VD Tonchev Journal of Combinatorial Theory, Series A 67 (1), 23-43, 1994 | 27 | 1994 |

Semisymmetric cubic graphs of twice odd order CW Parker European Journal of Combinatorics 28 (2), 572-591, 2007 | 26 | 2007 |

Two families of exotic fusion systems M Clelland, C Parker Journal of Algebra 323 (2), 287-304, 2010 | 24 | 2010 |

A 3-local characterization of U6 (2) and Fi22 C Parker Journal of Algebra 300 (2), 707-728, 2006 | 22 | 2006 |

Strongly p-embedded subgroups C Parker, G Stroth arXiv preprint arXiv:0901.0805, 2009 | 21 | 2009 |

Miniscule representations C Parker, G Röhrle Sonderforschungsbereich 343, 1993 | 21* | 1993 |

LOCAL CHARACTERISTIC-PAIRS C Parker, P Rowley Proceedings of the London Mathematical Society 93 (2), 325-394, 2006 | 18 | 2006 |

The P!-theorem CW Parker, G Parmeggiani, B Stellmacher Journal of Algebra 263 (1), 17-58, 2003 | 16 | 2003 |

Fusion systems over a Sylow *p*-subgroup of C Parker, J Semeraro Mathematische Zeitschrift 289, 629-662, 2018 | 15 | 2018 |

Groups which are almost groups of Lie type in characteristic p C Parker, G Stroth arXiv preprint arXiv:1110.1308, 2011 | 14 | 2011 |

A Family of fusion systems related to the groups Sp (p) and G (p). C Parker, G Stroth Archiv der Mathematik 104 (4), 2015 | 13 | 2015 |

A characteristic 5 identification of the Lyons group C Parker, P Rowley Journal of the London Mathematical Society 69 (1), 128-140, 2004 | 13 | 2004 |

A 7-local identification of the Monster CW Parker, CB Wiedorn Nagoya Mathematical Journal 178, 129-149, 2005 | 12 | 2005 |