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A Finite Index Property of Certain Solvable Groups

A Finite Index Property of Certain Solvable Groups

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 …