On the Representation of the Symmetric and Alternating Groups by Fractional Linear Substitutions

Abstract

Contents Introduction 1. The Representation Groups of the Groups S_n and A_n 2. On the Classification of the Elements of the Groups T_n and B_n into Classes of Conjugated Elements 3. On the Assignment of the Elements of the Groups S_n and T_n 4. General Properties of the Characters of the Groups T_n and B_n 5. On the Collineation Groups Belonging to the Characters of the Groups T_n and B_n 6. The Principal Representation of Second Kind of the Group T_n