Bounded generation for congruence subgroups of Sp4(R)

DOI10.1142/s0219498823501748zbMath1521.20109OpenAlexW4224325667MaRDI QIDQ6168675

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Publication date: 11 July 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823501748

zbMATH Keywords

bounded generationcongruence subgroup propertyconjugation-invariant norms

Mathematics Subject Classification ID

Linear algebraic groups over global fields and their integers (20G30)

Cites Work

• Products of conjugacy classes in Chevalley groups. I: Extended covering numbers
• On a question of M. Newman on the number of commutators
• On the diameter of a Cayley graph of a simple group of Lie type based on a conjugacy class
• 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
• Products of conjugacy classes in 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 \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Lectures on Chevalley Groups
• ON BI-INVARIANT WORD METRICS
• Bounded Elementary Generation of SL n (O)
• 2-GOOD RINGS
• Conjugation-invariant norms on groups of geometric origin
• On normal subgroups of Chevalley groups over commutative rings
• Number fields
• Diameters of finite simple groups: sharp bounds and applications
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