Finitely generated groups with polynomial index growth

Abstract

We prove that a finitely generated soluble residually finite group has polynomial index growth if and only if it is a minimax group. We also show that if a finitely generated group with PIG is residually finite-soluble then it is a linear group. These results apply in particular to boundedly generated groups; they imply that every infinite BG residually… (More)

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Cite this paper

@inproceedings{Pyber2008FinitelyGG, title={Finitely generated groups with polynomial index growth}, author={L{\'a}szl{\'o} Pyber and Dan Segal}, year={2008} }