Sylow Subgroups: Group Theory

This lecture delves into the concept of p-subgroups of Sylow, focusing on the general philosophy of studying mathematical objects 'one prime at a time', particularly in the context of abelian groups. Detailed calculations of decomposing into p-subgroups of Sylow are presented, along with a brief discussion on the (non)functoriality of the center and the set of p-subgroups of Sylow.