Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896331 | Journal of Algebra | 2018 | 30 Pages |
Abstract
We consider word maps and word maps with constants on a simple algebraic group G. We present results on the images of such maps, in particular, we prove a theorem on the dominance of “general” word maps with constants, which can be viewed as an analogue of a well-known theorem of Borel on the dominance of genuine word maps. Besides, we establish a relationship between the existence of unipotents in the image of the map induced by wâFm and the structure of the representation variety R(Îw,G) of the group Îw=Fm/ãwã.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Nikolai Gordeev, Boris KunyavskiÄ, Eugene Plotkin,