Universal Equivalence of General and Special Linear Groups Over Fields

E. I. Bunina; G. A. Kaleeva

doi:10.1007/s10958-019-04165-5

Universal Equivalence of General and Special Linear Groups Over Fields

E. I. Bunina
, G. A. Kaleeva

Lomonosov Moscow State University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 G_n(K) and G_m(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.

Original language	English
Pages (from-to)	387-409
Number of pages	23
Journal	Journal of Mathematical Sciences (United States)
Volume	237
Issue number	3
DOIs	https://doi.org/10.1007/s10958-019-04165-5
State	Published - 7 Mar 2019
Externally published	Yes

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Publisher Copyright:
© 2019, Springer Science+Business Media, LLC, part of Springer Nature.

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Universal Equivalence of General and Special Linear Groups Over Fields

Abstract

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