Finitary linear representations of infinite symmetric and alternating groups
A linear transformation of a vector space is called finitary if it acts identically on some subspace of finite codimension. It is clear that the set of all invertible finitary transformations of a vector space \(V\) is a normal subgroup \(\text{FGL}(V)\) of the group of all invertible linear transformations \(\text{GL}(V)\). A homomorphism of a group \(G\) into \(\text{FGL}(V)\) is called a finitary linear transformation of the group \(G\). The present article is devoted to the study of finitary representations of symmetric and alternating groups of finitary permutations on an infinite set.
symmetric and alternating groups of finitary permutations
scientific article; zbMATH DE number 738965