Elementary bounded generation for SLn${\rm SL}_n$ for global function fields and n⩾3$n\geqslant 3$
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Publication:6148047
DOI10.1112/blms.12925arXiv2206.13958MaRDI QIDQ6148047
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Publication date: 1 February 2024
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.13958
Linear algebraic groups over global fields and their integers (20G30) Power residues, reciprocity (11A15) Structure theory for linear algebraic groups (20G07)
Cites Work
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- Bounded generation of \(S\)-arithmetic subgroups of isotropic orthogonal groups over number fields.
- Structure of Chevalley groups over rings via universal localization.
- Some arithmetic properties of subrings of function fields over finite fields
- On bounded elementary generation for \(\mathrm{SL}_n\) over polynomial rings
- Bounded generation of \(\mathrm{SL}_2\) over rings of \(S\)-integers with infinitely many units
- Non-virtually abelian anisotropic linear groups are not boundedly generated
- Bounded generation of \(\text{SL}(n,A)\) (after D. Carter, G. Keller, and E. Paige).
- Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
- Strong boundedness of split Chevalley groups
- Bounded Elementary Generation of SL n (O)
- BOUNDED GENERATION AND LINEAR GROUPS
- Ray class fields of global function fields with many rational places
- Defining \(R\) and \(G(R)\)
- Bounded generation and commutator width of Chevalley groups: function case
- Norm rigidity for arithmetic and profinite groups
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