On a connection between the order of a finite group and the set of conjugacy classes size

Autor:	Gorshkov, I. B.
Rok vydání:	2018
Předmět:	Mathematics - Group Theory
Druh dokumentu:	Working Paper
Popis:	Let $G\in\{p,q\}^*$ be a finite group with trivial center, where $p,q\in\pi(G)$ and $p>q>5$. In the present paper it is proved that $|G|_{\{p,q\}}=|G||_{\{p,q\}}$; in particular $C_G(g)\cap C_G(h)=1$ for every $p$-element $g$ and every $q$-element $h$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1804.04594 Zobrazit plný text záznamu View this record from Arxiv