Recognizability by spectrum of alternating groups

Autor:	Gorshkov, I. B.
Rok vydání:	2013
Předmět:	Mathematics - Group Theory
Druh dokumentu:	Working Paper
Popis:	The spectrum of a group is the set of its element orders. A finite group $G$ is said to be recognizable by spectrum if every finite group that has the same spectrum as $G$ is isomorphic to $G$. We prove that the simple alternating groups $A_n$ are recognizable by spectrum when $n\neq 6, 10$. This implies that every finite group with the same spectrum as that of a finite nonabelian simple group, has at most one nonabelian composition factor
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1302.4825 Zobrazit plný text záznamu View this record from Arxiv