Universal equivalence of symplectic groups

E. I. Bunina; A. M. Lazarev

Universal equivalence of symplectic groups

E. I. Bunina, A. M. Lazarev

Department of Mathematics

Bar-Ilan 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)	17-38
Number of pages	22
Journal	Fundamental and Applied Mathematics
Volume	23
Issue number	4
State	Published - 2021

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Geometry and Topology
Applied Mathematics

Cite this

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abstract = "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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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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M3 - مقالة

SN - 1560-5159

VL - 23

SP - 17

EP - 38

JO - Fundamental and Applied Mathematics

JF - Fundamental and Applied Mathematics

IS - 4

ER -

Universal equivalence of symplectic groups

Abstract

All Science Journal Classification (ASJC) codes

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