2-Elementary Subgroups of the Space Cremona Group

2013/08/26 by Yuri Prokhorov
Mathematics · #Abelian group #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Automorphism #Computer science #Finite Group Theory Research #Group (periodic table) #Mathematics #Physics #Pure mathematics #Quantum mechanics #Space (punctuation) #math.AG

paper · pdf · doi:10.1007/978-3-319-05681-4_12

published as Springer Proceedings in Mathematics and Statistics, 2014, 79, 215-229

arxiv created 2013/08/26 · openalex publication_date 2014/01/01 · arxiv updated 2016/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We give a sharp bound for orders of elementary abelian 2-groups of birational automorphisms of rationally connected threefolds.

Citations

• On birational involutions of \mathbb P³
• Bounds for the orders of the finite subgroups of G(k)
• Finite Subgroups of the Plane Cremona Group