Groups with numerical restrictions on minimal generating sets

Document Type: Ischia Group Theory 2018

Authors

1 National University of Dnipro

2 Dipartimento di Matematica Universita' di Salerno

3 University of Salerno

Abstract

We study an inverse problem of small doubling type. We investigate the structure of a finitely generated group $G$ such that, for any set $S$ of generators of $G$ of minimal order, we have $S^2 leq 3|S|-beta$, where $beta in {1, 2, 3}$

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