A Residual Property of Certain Linear Groups

DOI10.2307/2000913zbMath0623.20019OpenAlexW4254099151MaRDI QIDQ3760728

Peter F. Stebe

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000913

zbMATH Keywords

relationspolycyclic groupsfinitely generated nilpotent groupsfinitely generated groupsubgroup of finite indexsoluble-by-finitefinitely generated linear groupfinitely generated nestsresidually finite with respect to nests

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Nilpotent groups (20F18) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Residual properties and generalizations; residually finite groups (20E26)

Related Items (2)

Universal factorization property of certain polycyclic groups ⋮ Factorization of group homomorphisms

Cites Work

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• Conjugate separability in polycyclic groups
• Free subgroups in linear groups
• Residual Solvability of an Equation in Nilpotent Groups
• On the decidability of some problems in special classes of groups
• A Residual Property of Certain Groups
• On Infinite Soluble Groups-I
• On Infinite Soluble Groups (II)
• Finiteness Conditions for Soluble Groups
• An essay on free products of groups with amalgamations
• On Infinite Soluble Groups (III)
• A topology for free groups and related groups

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