This article defines a property that can be evaluated for an algebraic group. it is probably not a property that can directly be evaluated, or make sense, for an abstract group|View other properties of algebraic groups
An algebraic group over a field is said to be simple if it does not contain any proper nontrivial normal connected closed subgroup.
Note that in abstract group-theoretic terms, this does not force the group to be a simple group. However, it does force the group to be a quasisimple group.
Relation with other properties