๐”– Bobbio Scriptorium
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Construction of Finite Groups

โœ 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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โœฆ 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 โ€ข 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.


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