Groups with numerical restrictions ‎on minimal generating sets

نویسندگان
Kurdachenko, Leonid A ID 1
Longobardi, Patrizia ID 2
Maj, Mercede ID 3

1 National University of Dnipro

2 Dipartimento di Matematica Universita' di Salerno

3 University of Salerno

doi
10.22108/ijgt.2019.115131.1526
چکیده

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 $S^2 ≤ 3|S|-ß$, where $ß ∈ {1, 2, 3}$

کلیدواژه‌ها
Small doubling, minimal generating subsets, inverse problems