Universal Equivalence of General and Special Linear Groups Over Fields

E. I. Bunina; G. A. Kaleeva

doi:https://doi.org/10.1007/s10958-019-04165-5

Universal Equivalence of General and Special Linear Groups Over Fields

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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 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
Volume	237
Issue number	3
DOIs	https://doi.org/10.1007/s10958-019-04165-5
State	Published - 7 Mar 2019
Externally published	Yes

All Science Journal Classification (ASJC) codes

Applied Mathematics
Statistics and Probability
General Mathematics

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Cite this

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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.",

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AU - Kaleeva, G. A.

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AB - 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.

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VL - 237

SP - 387

EP - 409

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

IS - 3

ER -

Universal Equivalence of General and Special Linear Groups Over Fields

Abstract

All Science Journal Classification (ASJC) codes

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