In the theory of finite groups, this multi-part theorem provides the most general sufficient condition for the existence of subgroups.
In the theory of finite groups, this multi-part theorem provides the most general sufficient condition for the existence of subgroups. Its most basic result states that for each prime that divides the order of the group, a subgroup exists whose order is the higest power of that prime that divides the order of the group. FTP, name the theorem, which is named for a Norwegian mathematician who wasn't Neils Henrik Abel.
In the theory of finite groups, this multi-part theorem provides the most general sufficient condition for the existence of subgroups.
{Sylow's Theorem}