Journal
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
Volume 12, Issue 5, Pages 623-644Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218196702001115
Keywords
enumeration; determination; small groups; algorithms
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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.
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