Universal Equivalence of General and Special Linear Groups Over Fields


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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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E. Bunina

Lomonosov Moscow State University

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Email: helenbunina@gmail.com
俄罗斯联邦, Moscow

G. Kaleeva

Lomonosov Moscow State University

Email: helenbunina@gmail.com
俄罗斯联邦, Moscow

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