CHARACTER VARIETIES OF BAUMSLAG – SOLITAR GROUPS
Abstract
Summary Character varieties of Baumslag – Soliter groups are investigated. Irreducible components of these varieties are found, their dimensions are calculated, and their rationality is proved.
About the Authors
V. V. Beniash-Kryvets
Belarusian State University, Minsk
Belarus
Belarus
I. O. Govorushko
Belarusian State University, Minsk
Belarus
Belarus
References
1. Mumford D., Fogarty J. Geometric invariant theory. Berlin; Heidelberg; New York, 1982.
2. Lubotzky A., Magid A. // Memoirs AMS. 1985. Vol. 58, N 336. P. 1–116.
3. Rudnick Z. // J. Pure and Applied Algebra. 1987. Vol. 45. P. 261–272.
4. Benyash-Krivetz V. V., Rapinchuk A. S., Chernousov V. I. // Israel J. Math. 1996. Vol. 93. P. 29–71.
5. Беняш-Кривец В. В., Черноусов В. И. // Мат. сб. 1997. Т. 188, № 7. C. 47–92.
6. Беняш-Кривец В. В., Говорушко И. О. // Вестн. БГУ, сер. 1. 2014. № 2. С. 43–45.
7. Baumslag G., Solitar D. // Bull. AMS. 1962. Vol. 68, N 3. P. 199–201.
8. McLaury D. // J. Group Theory. 2012. Vol. 15, N 4. P. 543–552.
9. Artin M. // J. Algebra. 1969. Vol. 11. P. 532–563.
10. Крафт Х. Геометрические методы в теории инвариантов. М., 1987.
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