English

Groups elementarily equivalent to the classical matrix groups

Group Theory 2024-05-24 v1 Logic

Abstract

In this paper we describe all groups that are first-order (elementarily) equivalent to the classical matrix groups such as GLn(F),SLn(F)GL_n(F), SL_n(F) and Tn(F)T_n(F) over a field FF provided n3n \geq 3.

Cite

@article{arxiv.2405.14476,
  title  = {Groups elementarily equivalent to the classical matrix groups},
  author = {Alexei G. Myasnikov and Mahmood Sohrabi},
  journal= {arXiv preprint arXiv:2405.14476},
  year   = {2024}
}

Comments

36 pages

R2 v1 2026-06-28T16:37:07.433Z