2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102269Let $G$ be a finite group and $Ch_i(G)$ some quantitative sets. In this paper we study the influence of $Ch_i(G)$ to the structure of $G$. We present a survey of author and his colleagues' recent works.7 pagesGroup Theory20D60; 20D05; 20D06; 20D08; 20D25; 20E45; 20C15text