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Around the algebraicity problem in odd type

Gregory Cherlin
Vol. 3 (2024), No. 2, 505–538
DOI: 10.2140/mt.2024.3.505
Abstract

We discuss the algebraicity conjecture in odd type, with particular attention to some unfinished business involving work of Jeffrey Burdges.

Keywords
group, Morley rank, simple group, odd type, Zilber, strong embedding, algebraic group, classification, unipotence, Burdges, $L$-star, algebra, model theory, algebraicity conjecture, Cherlin–Zilber, stability, model theoretic algebra
Mathematical Subject Classification
Primary: 03C60, 20E32
Secondary: 03-02, 20A15
Milestones
Received: 3 December 2022
Revised: 28 February 2023
Accepted: 14 March 2023
Published: 19 July 2024
Authors
Gregory Cherlin
Department of Mathematics
Rutgers University
Piscataway, NJ
United States
© 2024 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers).