Simple group of component type
This article is about a definition in group theory that is standard among the group theory community (or sub-community that dabbles in such things) but is not very basic or common for people outside.
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A finite simple non-Abelian group is said to be a simple group of component type if for any involution , the group has no quasisimple component.
Note that it does not matter which involution we pick because the involutions of a group form a single conjugacy class.