Universal Equivalence of Symplectic Groups

E. I. Bunina; A. M. Lazarev

doi:10.1007/s10958-023-06292-6

Universal Equivalence of Symplectic Groups

E. I. Bunina
, A. M. Lazarev

Lomonosov Moscow State University

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

Abstract

In this paper, we prove a criterion of universal equivalence of symplectic linear groups over fields: two symplectic linear groups Sp_2n(K) and Sp_2m(M), where n,m ≥ 1 and K and M are infinite fields of characteristic not equal to 2, are universally equivalent if and only if n = m and the fields K and M are universally equivalent.

Original language	English
Pages (from-to)	453-468
Number of pages	16
Journal	Journal of Mathematical Sciences (United States)
Volume	269
Issue number	4
DOIs	https://doi.org/10.1007/s10958-023-06292-6
State	Published - Jan 2023
Externally published	Yes

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© 2023, Springer Nature Switzerland AG.

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AB - In this paper, we prove a criterion of universal equivalence of symplectic linear groups over fields: two symplectic linear groups Sp2n(K) and Sp2m(M), where n,m ≥ 1 and K and M are infinite fields of characteristic not equal to 2, are universally equivalent if and only if n = m and the fields K and M are universally equivalent.

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Universal Equivalence of Symplectic Groups

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