The Small Groups library

The Small Groups Library is available as part of the computer algebra systems GAP and Magma. The user manual of the GAP system has a description of the Library: here.

Selected publications:
  • Hans Ulrich Besche and Bettina Eick and E.A. O'Brien
    A millennium project: constructing Small Groups
    Internat. J. Algebra Comput. 12, 623 - 644 (2002)

  • Heiko Dietrich and Bettina Eick
    Groups of cube-free order
    J. Algebra 292, 122 - 137 (2005)

  • Bettina Eick and E. A. O'Brien
    Enumerating p-groups
    J. Austral. Math. Soc. 67, 191 - 205 (1999)

  • B. Girnat
    Klassifikation der Gruppen bis zur Ordnung p^5
    Staatsexamensarbeit, TU Braunschweig.

  • M. F. Newman, E. A. O'Brien and M. R. Vaughan-Lee
    Groups and nilpotent Lie rings whose order is the sixth power of a prime
    J. Algebra 278, 383 - 401 (2003)

  • E. A. O'Brien and M. R. Vaughan-Lee
    The groups of order p^7 for odd prime p.
    J. Algebra 292, 243 - 258 (2005)