# Evgeny Khukhro’s second talk at Shanghai University

Evgeny Khukhro will give a second talk at Dept. of Mathematics of Shanghai University on Friday, 19 December 2014. The title is “Linear methods in the study of finite *p*-groups”.

Abstract: Some linear methods applied in the study of finite *p*-groups will be discussed. Most of these methods are Lie ring methods. There are several ways of constructing a Lie ring or a Lie algebra from a nilpotent *p*-group, some of these constructions are only possible for certain classes of groups. Advantages and difficulties of reduction of problems about groups to problems about Lie rings will be discussed. The construction of the associated Lie ring of a nilpotent group will be described, its definition and basic properties. Examples of applications will be given. Also applications of the Baker–Campbell–Hausdorff formula in the study of nilpotent *p*-groups will be described. Although such applications are not possible in general, yet there were some successful applications in certain special cases. Definition and basic properties of the Mal’cev and Lazard correspondences will be described and examples of their applications will be given.

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