Some Relations between Substitution Group Properties and Abstract Groups
George Alford Miller · Biodiversity Heritage Library (Smithsonian Institution) · 1910
Dyck observed that the necessary and sufficient condition that a transitive substitution group G of degree n is primitive is that its subgroup G, which is composed of all the substitutions of G which omit one letter is a maximal subgroup of Gt.This establishes an important relation between primitive substitution groups and the properties of G considered as an abstract group.It has also been