Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2013 6 (4)
- Authors
- Roman’kov, Vitaly A.
- Contact information
- Roman’kov, Vitaly A.:Institute of Mathematics and Information Technologies, Omsk F.M. Dostoevsky State University, Mira, 55-A, Omsk, 644077. Omsk State Technical University, Mira, 11, Omsk, 644050, Russia;
- Keywords
- free group; unitriangular automorphism; linearity
- Abstract
We prove that the unitriangular automorphism group of a free group of rank n has a faithful representation by matrices over a field, or in other words, it is a linear group, if and only if n 3. Thus, we have completed a description of relatively free groups with linear the unitriangular automorphism groups. This description was initiated by Erofeev and the author in [1], where proper varieties of groups have been considered
- Pages
- 516–520
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/10083
Journal of Siberian Federal University. Mathematics & Physics / The Linearity Problem for the Unitriangular Automorphism Groups of Free Groups
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