The first edition of this book was the indispensable reference for researchers in the theory of
pro-p groups. In this second edition the presentation has been improved and important new …

Page 1 DE GRUYTER Evgenii I. Khukhro EXPOSITIONS IN MATHEMATICS 8 Nilpotent Groups
and their Automorphisms W DE G Page 2 Page 3 Page 4 Page 5 de Gruyter Expositions in …

This book provides a detailed but concise account of the theory of structure of finite p-groups
admitting p-automorphisms with few fixed points. The relevant preliminary material on Lie …

Nonassociative Algebra and Its Applications: The Fourth International conference Page 1
Applications of Lie ring methods to group theory PAVEL SHUMYATSKY1 Department of …

Let A be a brace of cardinality $ p^{n} $ for some prime number $ p $. Suppose that either (i)
the additive group of brace $ A $ has rank smaller than $ p-3$, or (ii) $ A^{\frac {p-1} …

The purpose of this chapter is to describe the use of Lie-theoretic methods in the study of pro-
p Groupss. I shall also discuss briefly some related objects, such as finite p-groups and …

We investigate the structure of groups satisfying apositive law, that is, an identity of the
formu≡ v, whereuandvare positive words. The main question here is whether all such …

This paper is devoted to the study of finite p-groups and their inverse limits, with special
emphasis on recent developments and applications of Lie theory (in a broad sense, which …

Let G be a profinite group in which every centralizer ${C_G}(x)\;(x\in G) $ is either finite or of
finite index. It is shown that G is finite-by-abelian-by-finite. Moreover, if, in addition, G is a just …

Let G be a finite group admitting an automorphism α with m fixed points. Suppose every
subgroup of G is r-generated. It is shown that (1) G has a characteristic soluble subgroup H …