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

Abstract

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