Balance theorem
Encyclopedia
In mathematical finite group theory, the balance theorem states that if G is a group with no core
then G either has disconnected Sylow 2-subgroups or it is of characteristic 2 type or it is of component type .
The significance of this theorem is that it splits the classification of finite simple groups into three major subcases.
Core (group)
In group theory, a branch of mathematics, a core is any of certain special normal subgroups of a group. The two most common types are the normal core of a subgroup and the p-core of a group.-Definition:...
then G either has disconnected Sylow 2-subgroups or it is of characteristic 2 type or it is of component type .
The significance of this theorem is that it splits the classification of finite simple groups into three major subcases.