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Groups whose orders factorise into at most four primes
- Publication Year :
- 2020
- Publisher :
- arXiv, 2020.
-
Abstract
- The groups whose orders factorise into at most four primes have been described (up to isomorphism) in various papers. Given such an order n, this paper exhibits a new explicit and compact determination of the isomorphism types of the groups of order n together with effective algorithms to enumerate, construct, and identify these groups. The algorithms are implemented for the computer algebra system GAP.<br />Comment: This version corrects two minor typos in Table 4
- Subjects :
- Discrete mathematics
Algebra and Number Theory
010102 general mathematics
010103 numerical & computational mathematics
Construct (python library)
Group Theory (math.GR)
Symbolic computation
01 natural sciences
Computational Mathematics
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
FOS: Mathematics
Order (group theory)
Isomorphism
0101 mathematics
Mathematics - Group Theory
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....ffef06429ab5177c5de6b6514c43f269
- Full Text :
- https://doi.org/10.48550/arxiv.2012.02933