KnowraSimple groupLinked fromLinked fromThe 12 pages that link to Simple group, each with the reason it gives.All 12Broader topic 1Related 5Narrower topic 5Compared with 1Normal subgroupRelated: Normal subgroups determine whether a group is simple.Composition seriesRelated: A composition series is defined by requiring every successive quotient to be simple.Finite simple groupNarrower topic: The broader notion includes infinite groups as well as finite ones.Jordan–Hölder theoremBroader topic: Every factor in a composition series must be simple.Classification of finite simple groupsNarrower topic: Simplicity is the property that defines the objects in the classification.Solvable groupCompared with: Nonabelian simple groups are the basic obstructions to finite-group solvability.Monster groupNarrower topic: Simplicity is the defining structural property shared by the Monster and its classification peers.Sporadic groupNarrower topic: Simplicity is the defining structural condition shared by every sporadic group.Isomorphism theoremsRelated: Theorems about quotients reduce questions about group structure to normal subgroups.Zassenhaus lemmaRelated: Simple groups are the factors whose uniqueness the Jordan–Hölder theorem secures.Brauer–Suzuki theoremNarrower topic: The theorem's exclusion applies to the nonabelian members of this broader class.Feit–Thompson theoremRelated: Simple groups are key building blocks in structural arguments about finite groups.