Solubility of groups can be characterized by configuration

Autor:	Rejali, Ali, Malekan, Meisam Soleimani
Rok vydání:	2015
Předmět:	Mathematics - Group Theory 20F05 20F16 20F24 43A07 J.2
Druh dokumentu:	Working Paper
Popis:	The concept of configuration was first introduced by Rosenblatt and Willis to give a characterization for the amenability of groups. We show that group properties of being soluble or FC can be characterized by configuration sets. Then we investigate some condition on configuration pairs, which leads to isomorphism. We introduce a somewhat different notion of configuration equivalence, namely strong configuration equivalence, and prove that strong configuration equivalence coincides with isomorphism. Comment: 19 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1510.07209 Zobrazit plný text záznamu View this record from Arxiv