Cristina Acciarri

Profinite groups and the fixed points of coprime automorphisms

Abstract The main result of the paper is the following theorem. Let q be a prime and A an elementary abelian group of order q 3 . Suppose that A acts coprimely on a profinite group G and assume that C G ( a ) is locally nilpotent for each a ∈ A # . Then the group G is locally nilpotent.

A focal subgroup theorem for outer commutator words

Let

CONCISENESS OF COPRIME COMMUTATORS IN FINITE GROUPS

G

Fixed points of coprime operator groups

be a finite group of order

Profinite groups and centralizers of coprime automorphisms whose elements are Engel

p^am

On groups with automorphisms whose fixed points are Engel

, where

POSITIVE LAWS ON GENERATORS IN POWERFUL PRO-p GROUPS

p

POSITIVE LAWS ON LARGE SETS OF GENERATORS: COUNTEREXAMPLES FOR INFINITELY GENERATED GROUPS

is a prime and

On words that are concise in residually finite groups

m

On profinite groups in which commutators are covered by finitely many subgroups

is not divisible by