A MILLENNIUM PROJECT: CONSTRUCTING SMALL GROUPS-Reference-Cited by-同舟云学术

A MILLENNIUM PROJECT: CONSTRUCTING SMALL GROUPS

Published:2002-10 Issue:05 Volume:12 Page:623-644
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

BESCHE HANS ULRICH¹,EICK BETTINA²,O'BRIEN E. A.³

Affiliation:

1. Lehrstuhl D für Mathematik, RWTH Aachen, Templergraben 64, 52062 Aachen, Germany

2. Institut für Geometrie, TU Braunschweig, Pockelsstrasse 14, 38106 Braunschweig, Germany

3. Department of Mathematics, University of Auckland, Private Bag 92019, Auckland, New Zealand

Abstract

We survey the problem of constructing the groups of a given finite order. We provide an extensive bibliography and outline practical algorithmic solutions to the problem. Motivated by the millennium, we used these methods to construct the groups of order at most 2000; we report on this calculation and describe the resulting group library.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196702001115

Reference63 articles.

1. La composizione dei Gruppi finiti il cui grado è la quinta potenza di un numero primo

2. Sopra i Gruppi astratti di grado 32

3. Construction of Finite Groups

4. The Groups of Order at Most 1000 Except 512 and 768

5. THE GROUPS OF ORDER qn· p

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