Handbook of computational group theory DF Holt, B Eick, EA O'Brien CRC Press, 2005 | 635 | 2005 |

A millennium project: constructing small groups HU Besche, B Eick, EA O'BRIEN International Journal of Algebra and Computation 12 (05), 623-644, 2002 | 233 | 2002 |

The ore conjecture MW Liebeck, EA O'Brien, A Shalev, PH Tiep Journal of the European Mathematical Society 12 (4), 939-1008, 2010 | 225 | 2010 |

The p-group generation algorithm EA O'Brien Journal of symbolic computation 9 (5-6), 677-698, 1990 | 221 | 1990 |

Generating random elements of a finite group F Celler, CR Leedham-Green, SH Murray, AC Niemeyer, EA O'brien Communications in algebra 23 (13), 4931-4948, 1995 | 220 | 1995 |

The groups with order p7 for odd prime p EA O'Brien, MR Vaughan-Lee Journal of Algebra 292 (1), 243-258, 2005 | 89 | 2005 |

Base sizes for sporadic simple groups TC Burness, EA O'Brien, RA Wilson Israel Journal of Mathematics 177 (1), 307-333, 2010 | 80 | 2010 |

Groups and nilpotent Lie rings whose order is the sixth power of a prime MF Newman, EA O'Brien, MR Vaughan-Lee Journal of Algebra 278 (1), 383-401, 2004 | 74 | 2004 |

The groups of order at most 2000 H Besche, B Eick, E O’Brien Electronic research announcements of the American Mathematical Society 7 (1 …, 2001 | 73 | 2001 |

The groups of order 128 R James, MF Newman, EA O'Brien Journal of Algebra 129 (1), 136-158, 1990 | 68 | 1990 |

CONSTRUCTING AUTOMORPHISM GROUPS OF *p*-GROUPSB Eick, CR Leedham-Green, EA O'Brien Communications in Algebra 30 (5), 2271-2295, 2002 | 66 | 2002 |

Classifying 2-groups by coclass M Newman, E O’Brien Transactions of the American Mathematical Society 351 (1), 131-169, 1999 | 60 | 1999 |

Application of computers to questions like those of Burnside, II MF Newman, EA O’BRIEN International Journal of Algebra and Computation 6 (05), 593-605, 1996 | 60 | 1996 |

The groups of order 256 EA O'Brien Journal of algebra 143 (1), 219-235, 1991 | 57 | 1991 |

Enumerating p-groups B Eick, EA O'Brien Journal of the Australian Mathematical Society 67 (2), 191-205, 1999 | 56 | 1999 |

Constructive recognition of classical groups in odd characteristic CR Leedham-Green, EA O'Brien Journal of Algebra 322 (3), 833-881, 2009 | 51 | 2009 |

Isomorphism testing for p-groups EA O'Brien Journal of Symbolic Computation 17 (2), 133-147, 1994 | 51 | 1994 |

Computing matrix group decompositions with respect to a normal subgroup DF Holt, CR Leedham-Green, EA O'Brien, S Rees Journal of Algebra 184 (3), 818-838, 1996 | 49 | 1996 |

Towards effective algorithms for linear groups EA O’Brien Finite geometries, groups, and computation, 163-190, 2006 | 46 | 2006 |

A practical model for computation with matrix groups H Bäärnhielm, D Holt, CR Leedham-Green, EA O'Brien Journal of Symbolic Computation 68, 27-60, 2015 | 44 | 2015 |