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Article overview
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A theorem of Kaplansky revisited | Heydar Radjavi
; Bamdad R. Yahaghi
; | Date: |
2 Aug 2015 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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