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- W2316353506 abstract "Abstract A group G is said to have the FINITE INDEX property (G is an FI-group) if, whenever H≤G, x p ∈ H for some x in G and p > 0, then |〈 H , x 〉: H | is finite. Following a brief discussion of some locally nilpotent groups with this property, it is shown that torsion-free solvable groups of finite rank which have the isolator property are FI-groups. It is deduced from this that a finitely generated torsion-free solvable group has an FI-subgroup of finite index if and only if it has finite rank." @default.
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- W2316353506 date "1984-12-01" @default.
- W2316353506 modified "2023-09-28" @default.
- W2316353506 title "A Finite Index Property of Certain Solvable Groups" @default.
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- W2316353506 doi "https://doi.org/10.4153/cmb-1984-077-3" @default.
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