7 citations · 8 across the 4 of their papers we have counts for
4 papers
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…
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…
On the exponent of a finite group admitting a fixed-point-free four-group of automorphisms
E. Romano, P. Shumyatsky
Let be a group isomorphic with either , the symmetric group on four symbols, or , the dihedral group of order 8. Let be a normal four-subgroup of and an i…
Multilinear commutators in residually finite groups
Pavel Shumyatsky
Let w be a multilinear commutator and n a positive integer. Suppose that G is a residually finite group in which every product of at most 896 w-values has order dividing n. Then th…