On representation varie ties of some HNN-extensions of free groups
Abstract
In the article we provide the description of the structure and the properties of representation varieties Rn(G(p,q)) of the groups with the presentation G(p,q) = ‹x1,…, x2, t|t(x12…xg2)q›, where g ≥ 3, |p| > q ≥ 1. Irreducible components of Rn(G(p,q)) are found, their dimensions are calculated and it is proved, that every irreducible component of Rn(G(p,q)) is a rational variety.
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Published
2019-01-19
Keywords:
a group presentation, a representation variety, a dimension of a variety, a rational variety
How to Cite
Admiralova, A. N., & Beniash-Kryvets, V. V. (2019). On representation varie ties of some HNN-extensions of free groups. Journal of the Belarusian State University. Mathematics and Informatics, 2, 10-16. Retrieved from https://journals.bsu.by/index.php/mathematics/article/view/779
Section
Geometry and Algebra
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