Groups with numerical restrictions ‎on minimal generating sets

Document Type : Ischia Group Theory 2018


1 National University of Dnipro

2 Dipartimento di Matematica Universita' di Salerno

3 University of Salerno


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 $beta in {1, 2, 3}$


Main Subjects