On verbal subgroups of adelic groups.

DOI10.1016/j.jalgebra.2009.03.024zbMath1223.20019OpenAlexW1981526015MaRDI QIDQ2431545

Daniel Segal

Publication date: 15 April 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.03.024

zbMATH Keywords

profinite groupsadelic groupsclosed subgroups\(p\)-adic analytic groupsverbal subgroupsverbal widths

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Limits, profinite groups (20E18) Linear algebraic groups over adèles and other rings and schemes (20G35)

Cites Work

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• On finitely generated profinite groups. I: Strong completeness and uniform bounds. II: Products in quasisimple groups.
• On the verbal width of finitely generated pro-\(p\) groups.
• Width of verbal subgroups in solvable groups
• On subgroups of \(GL_ n(F_ p)\)
• Subgroup growth.
• Finite subgroups of algebraic groups
• Generators for Simple Groups
• Varieties and simple groups
• Diameters of finite simple groups: sharp bounds and applications

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