
Let G be a finitely generated solvable linear group. It is shown that there exists a finitely presented solvable linear group H with G embedded in H.
Generators, relations, and presentations of groups, Soluble Linear Group, Free Nilpotent Group, Finitely Presented Soluble Groups, Finitely Generated Soluble Groups, Solvable groups, supersolvable groups, Chains and lattices of subgroups, subnormal subgroups, Matrix Representation, Subgroup theorems; subgroup growth, Other matrix groups over rings, Maximal Condition for Normal Subgroups, Nilpotent groups
Generators, relations, and presentations of groups, Soluble Linear Group, Free Nilpotent Group, Finitely Presented Soluble Groups, Finitely Generated Soluble Groups, Solvable groups, supersolvable groups, Chains and lattices of subgroups, subnormal subgroups, Matrix Representation, Subgroup theorems; subgroup growth, Other matrix groups over rings, Maximal Condition for Normal Subgroups, Nilpotent groups
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