Email this article Universal Equivalence of General and Special Linear Groups Over Fields
- Authors: Bunina E.I.1, Kaleeva G.A.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 237, No 3 (2019)
- Pages: 387-409
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/242352
- DOI: https://doi.org/10.1007/s10958-019-04165-5
- ID: 242352
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Abstract
In this paper, we study universal equivalence of general and special linear groups over fields. We give the following criterion for this relation to hold: two groups Gn(K) and Gm(L) (G = GL, SL, K and L are infinite fields) are universally equivalent if and only if n = m and the fields K and L are universally equivalent.
About the authors
E. I. Bunina
Lomonosov Moscow State University
Author for correspondence.
Email: helenbunina@gmail.com
Russian Federation, Moscow
G. A. Kaleeva
Lomonosov Moscow State University
Email: helenbunina@gmail.com
Russian Federation, Moscow
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