Title of article :
Groups with numerical restrictions on minimal generating sets
Author/Authors :
Kurdachenko, Leonid A National University of Dnipro , Longobardi, Patrizia Dipartimento di Matematica Universita - di Salerno , Maj, Mercede Dipartimento di Matematica Universita - di 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 S2leq3|S|−beta, where betain1,2,3
Keywords :
Small doubling , minimal generating subsets , inverse problems
Journal title :
International Journal of Group Theory
