Invited Speaker
Prof. Vahagn H. Mikaelian
Department of Informatics, Yerevan State University, ArmeniaSpeech Title: Varieties Generated by p-groups and Kp-series
Abstract: For a prime p let A be a nilpotent p-group of finite exponent and B be an abelian p-group of finite
exponent. Then the wreath product A Wr B generates the product variety var(A) var(B) if and only if the group B contains a the direct product of countably many copies of the cycle Cn where n is the exponent of B. This result continues our previous study of cases when var(A Wr B) = var(A) var(B) holds for certain other classes of groups A and B, such as, abelian groups, finite groups, etc.