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
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}