2 papers
math.GR2017
Nilpotent residual of fixed points
Emerson de Melo, Aline de Souza Lima, Pavel Shumyatsky
Let be a prime and a finite -group of exponent acting by automorphisms on a finite -group . Assume that has order at least . We show that if $γ_{\inf…
math.GR2011
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…