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On the dimension of matrix representations of finitely generated torsion free nilpotent groups

โœ Scribed by Habeeb, Maggie; Kahrobaei, Delaram


Book ID
121852450
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2013
Tongue
English
Weight
251 KB
Volume
5
Category
Article
ISSN
1867-1144

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โœ Willem A. de Graaf; Werner Nickel ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 257 KB

We formulate an algorithm for calculating a representation by unipotent matrices over the integers of a finitely-generated torsion-free nilpotent group given by a polycyclic presentation. The algorithm works along a polycyclic series of the group, each step extending a representation of an element o