A footnote on residually finite groups

DOI10.1007/BF02762693zbMath0849.20017MaRDI QIDQ1916882

Daniel Segal

Publication date: 5 November 1996

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

zbMATH Keywords

finite soluble groupsresidually finite groupsnilpotent normal subgroupsanalytic pro-\(p\) groupsfinitely generated groups with polynomial subgroup growthfinitely generated residually-\(\mathfrak S_ n\) groupslinearity criterionmatrix groups over a direct sum of fields

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Residual properties and generalizations; residually finite groups (20E26)

Related Items (5)

Finite rank and pseudofinite groups ⋮ On the Tits alternative for \(PD(3)\) groups ⋮ On groups that are residually of finite rank ⋮ Asymptotic growth of finite groups ⋮ A Tits alternative for groups that are residually of bounded rank

Cites Work

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• Powerful \(p\)-groups. I: Finite groups.
• Finitely generated groups of polynomial subgroup growth
• A group theoretic characterization of linear groups
• On groups of polynomial subgroup growth
• Theorem on groups of finite special rank
• \(p\)-adic analytic groups
• Uniform Finiteness Conditions in Residually Finite Groups
• Residually finite groups of finite rank

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