Resumen de Groups with Chernikov conjugacy classes in which Sylow permutability is a transitive relation

José María Muñoz Escolano , Javier Otal Cinca , Nadia A. Turbaj

• A subgroup H of a periodic group G is said to be Sylow permutable in G if HS = SH for every Sylow subgroup S of G. Like normality, Sylow permutability is not a transitive relation. In this paper we characterize periodic locally soluble groups with Chernikov conjugacy classes (periodic locally soluble CC�groups) in which Sylow permutability is a transitive relation (PST�groups) describing their structure in a very detailed way then extending the structure of finite soluble PST�groups.