Subgroups of Finitely Presented Solvable Linear Groups

DOI10.2307/1997874zbMath0406.20042OpenAlexW4235150727MaRDI QIDQ4192255

Michael W. Thomson

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/1997874

zbMATH Keywords

Finitely Presented Soluble GroupsMatrix RepresentationFinitely Generated Soluble GroupsFree Nilpotent GroupMaximal Condition for Normal SubgroupsSoluble Linear Group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25)

Related Items (7)

Infinite groups ⋮ On subgroups of residually nilpotent metabelian groups ⋮ Linear groups ⋮ Amenable groups without finitely presented amenable covers ⋮ A sufficient condition for finite presentability of abelian-by-nilpotent groups. ⋮ Finitely presented semigroups and associative algebras ⋮ On quotients of groups having finite homological type

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the linearity of free nilpotent-by-Abelian groups
• A finitely presented solvable group that is not residually finite
• On the subalgebras of certain finitely presented algebras
• Subgroups of finitely presented metabelian groups
• On metabelian groups
• A faithful matrix representation for certain centre-y-metabelian groups
• A Finitely Presented Metabelian Group with a Free Abelian Derived Group of Infinite Rank
• Finiteness Conditions for Soluble Groups

This page was built for publication: Subgroups of Finitely Presented Solvable Linear Groups