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The groups of order at most 2000

Authors: Hans Ulrich Besche, Bettina Eick and E. A. O'Brien
Journal: Electron. Res. Announc. Amer. Math. Soc. 7 (2001), 1-4
MSC (2000): Primary 20D10, 20D15; Secondary 20-04
Published electronically: February 12, 2001
MathSciNet review: 1826989
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We announce the construction up to isomorphism of the $49\,910\,529\,484$ groups of order at most 2000.

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Additional Information

Hans Ulrich Besche
Affiliation: Lehrstuhl D für Mathematik, RWTH Aachen, Templergraben 64, 52062 Aachen, Germany

Bettina Eick
Affiliation: Fachbereich Mathematik, Universität Kassel, Heinrich-Plett-Str. 40, 34132 Kassel, Germany

E. A. O'Brien
Affiliation: Department of Mathematics, University of Auckland, Private Bag 92019, Auckland, New Zealand

Keywords: Enumeration, determination, small groups, algorithms
Received by editor(s): May 31, 2000
Published electronically: February 12, 2001
Additional Notes: This work was supported in part by the Marsden Fund of New Zealand via grant #9144/3368248. Eick and O’Brien acknowledge the financial support of the Alexander von Humboldt Foundation, Bonn.
Communicated by: Efim Zelmanov
Article copyright: © Copyright 2001 American Mathematical Society