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Construction of finite p-groups that admit partitions

✍ Scribed by E. I. Khukhro


Book ID
105020418
Publisher
SP MAIK Nauka/Interperiodica
Year
1990
Tongue
English
Weight
962 KB
Volume
30
Category
Article
ISSN
0037-4466

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We construct infinite finitely presented simple groups that have subgroups isomorphic to Grigorchuk groups. We also prove that up to one possible exception all previously known finitely presented simple groups are torsion locally finite.

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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 supersolub