Strong boundedness of split Chevalley groups

DOI10.1007/s11856-022-2344-0OpenAlexW4295027549MaRDI QIDQ2696631

Alexander Trost

Publication date: 17 April 2023

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.05039

zbMATH Keywords

Cayley graphbounded generationChevalley groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (5)

Strong and uniform boundedness of groups ⋮ Bounded reduction for Chevalley groups of types \(E_6\) and \(E_7\) ⋮ Elementary bounded generation for SLn${\rm SL}_n$ for global function fields and n⩾3$n\geqslant 3$ ⋮ Conjugation-invariant norms on SL ₂ ( R ) for rings of S-algebraic integers with infinitely many units ⋮ Norm rigidity for arithmetic and profinite groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Subgroups of classical groups normalized by relative elementary groups.
• On a question of M. Newman on the number of commutators
• 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
• Explicit strong boundedness for higher rank symplectic groups
• 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 \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Chevalley groups over local rings
• \(K\)-theory and stable algebra
• Lectures on Chevalley Groups
• A note on the subnormal structure of general linear groups
• 2-GOOD RINGS
• On the Normal Subgroups of $G_2(A)$
• A concise introduction to mathematical logic
• On normal subgroups of Chevalley groups over commutative rings
• On normal subgroups of Chevalley groups over commutative rings
• Number fields
• Strong and uniform boundedness of groups

This page was built for publication: Strong boundedness of split Chevalley groups