chapter  22
6 Pages

Proofs of the Sylow Theorems

WithVictor E. Hill, Thomas T. Read

To complete the presentation of the material in Chapter 7, here are proofs of the Sylow theorems. The presentation here emphasizes the concept of a group acting on a set and is derived from that of Helmut Wielandt (“Zum Satz von Sylow,” Mathematische Zeitschrift 60 (1954): 407–408).