• A MILLENNIUM PROJECT: CONSTRUC...

Result: A MILLENNIUM PROJECT: CONSTRUCTING SMALL GROUPS: A millennium project: constructing small groups

Title:
A MILLENNIUM PROJECT: CONSTRUCTING SMALL GROUPS: A millennium project: constructing small groups
Authors:
Bettina Eick, Hans Ulrich Besche, Eamonn A. O'Brien
Source:
International Journal of Algebra and Computation. 12:623-644
Publisher Information:
World Scientific Pub Co Pte Lt, 2002.
Publication Year:
2002
Subject Terms:
small groups, Software, source code, etc. for problems pertaining to group theory, 0101 mathematics, Symbolic computation and algebraic computation, algorithms, 01 natural sciences, Arithmetic and combinatorial problems involving abstract finite groups, finite groups, enumeration
Document Type:
Academic journal Article
File Description:
application/xml
Language:
English
ISSN:
1793-6500
0218-1967
DOI:
10.1142/s0218196702001115
Access URL:
https://zbmath.org/1865510
https://doi.org/10.1142/s0218196702001115
https://www.worldscientific.com/doi/abs/10.1142/S0218196702001115
http://doi.org/10.1142/S0218196702001115
https://doi.org/10.1142/S0218196702001115
https://www.sid.ir/En/Journal/ViewPaper.aspx?ID=343776
https://dblp.uni-trier.de/db/journals/ijac/ijac12.html#BescheEO02
Accession Number:
edsair.doi.dedup.....7c2045a6ac9c4841c67ccf26d5ed6ce3
Database:
OpenAIRE

Further Information

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.