Periodic groups acting freely on abelian groups

Abstract Let π be a set of primes. A periodic group G is called a π-group if all prime divisors of the order of each of its elements lie in π. An action of G on a nontrivial group V is called free if, for any υ ∈ V and g ∈ G such that υg = υ, either υ = 1 or g = 1. We describe {2, 3}-groups that can...
Ausführliche Beschreibung

Abstract Let π be a set of primes. A periodic group G is called a π-group if all prime divisors of the order of each of its elements lie in π. An action of G on a nontrivial group V is called free if, for any υ ∈ V and g ∈ G such that υg = υ, either υ = 1 or g = 1. We describe {2, 3}-groups that can act freely on an abelian group. Ausführliche Beschreibung