Profinite groups and centralizers of coprime automorphisms whose elements are Engel

Cristina Acciarri, Danilo Sanção da Silveira

Let $q$ be a prime, $n$ a positive integer and $A$ an elementary abelian group of order $q^r$ with $r\ge 2$ acting on a finite $q^{\prime }$-group $G$. The following results are proved. We…