Construction of Finite Groups
โ Scribed by H.U. Besche; B. Eick
- Book ID
- 102976563
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 533 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0747-7171
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โฆ Synopsis
We introduce three practical algorithms to construct certain finite groups up to isomorphism. The first one can be used to construct all soluble groups of a given order. This method can be restricted to compute the soluble groups with certain properties such as nilpotent, non-nilpotent or supersoluble groups. The second algorithm can be used to determine the groups of order p n โข q with a normal Sylow subgroup for distinct primes p and q. The third method is a general method to construct finite groups which we use to compute insoluble groups.
๐ SIMILAR VOLUMES
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