Groups elementarily equivalent to the classical matrix groups

2024/05/23 by Alexei Myasnikov, Myasnikov, Alexei G., Mahmood Sohrabi +1
Computer Science · #03C60 #20F16 #FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO) #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.2405.14476

openalex publication_date 2024/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we describe all groups that are first-order (elementarily) equivalent to the classical matrix groups such as GL_n(F), SL_n(F) and T_n(F) over a field F provided n ≥ 3.

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