18 citations · 43 across the 23 of their papers we have counts for
7 papers · 1 filter
Centralizers of coprime automorphisms of finite groups
Cristina Acciarri, Pavel Shumyatsky
Let be an elementary abelian group of order with acting on a finite -group . The following results are proved. If is nilpotent of c…
On profinite groups in which commutators are covered by finitely many subgroups
Cristina Acciarri, Pavel Shumyatsky
For a family of group words we show that if is a profinite group in which all -values are contained in a union of finitely many subgroups with a prescribed property, the…
Fixed points of coprime operator groups
C. Acciarri, P. Shumyatsky
Let m be a positive integer and A an elementary abelian group of order q^r with r greater than or equal to 2 acting on a finite q'-group G. We show that if for some integer d such…
Positive laws on large sets of generators: counterexamples for infinitely generated groups
C. Acciarri, G. A. Fernández-Alcober
Shumyatsky and the second author proved that if G is a finitely generated residually finite p-group satisfying a law, then, for almost all primes, the fact that a normal and commut…
Derived Subgroups of Fixed Points in Profinite Groups
C. Acciarri, A. de Souza Lima, P. Shumyatsky
The main result of this paper is the following theorem. Let q be a prime, A an elementary abelian group of order q^3. Suppose that A acts as a coprime group of automorphisms on a p…
Positive laws on generators in powerful pro-p groups
Cristina Acciarri, Gustavo A. Fernández-Alcober
If G is a finitely generated powerful pro-p group satisfying a certain law v=1, and if G can be generated by a normal subset T of finite width which satisfies a positive law, we pr…