Email this article On Linear Groups with the Property of Order Finiteness of All Primitive Words in Generators
- Authors: Admiralova A.N.1, Beniash-Kryvets V.V.1
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Affiliations:
- Belarusian State University
- Issue: Vol 233, No 5 (2018)
- Pages: 616-625
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241601
- DOI: https://doi.org/10.1007/s10958-018-3947-1
- ID: 241601
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Abstract
It is well known that a finitely generated linear group of finite exponent is finite. It is proved in this paper that there exist infinite finitely generated linear groups such that all primitive words from generators have finite order.
About the authors
A. N. Admiralova
Belarusian State University
Author for correspondence.
Email: al.admiralova@gmail.com
Belarus, Minsk
V. V. Beniash-Kryvets
Belarusian State University
Email: al.admiralova@gmail.com
Belarus, Minsk
