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07 February 2025
 
  » arxiv » 1508.0183

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A theorem of Kaplansky revisited
Heydar Radjavi ; Bamdad R. Yahaghi ;
Date 2 Aug 2015
AbstractWe present a new and simple proof of a theorem due to Kaplansky which unifies theorems of Kolchin and Levitzki on triangularizability of semigroups of matrices. We also give two different extensions of the theorem. As a consequence, we prove the counterpart of Kolchin’s Theorem for finite groups of unipotent matrices over division rings.
Source arXiv, 1508.0183
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