KnowraFinite simple groupLinked fromLinked fromThe 9 pages that link to Finite simple group, each with the reason it gives.All 9Broader topic 4Related 2Narrower topic 3GroupBroader topic: Finite simple groups serve as the basic constituents in the classification of finite groups.Finite groupBroader topic: These are the indivisible building blocks of finite groups.Alternating groupNarrower topic: The groups Aₙ for n ≥ 5 form an infinite family of finite simple groups.Jordan–Hölder theoremBroader topic: Finite simple groups are the possible building blocks recorded by composition factors.Inverse Galois problemNarrower topic: The classification of finite simple groups organizes many central cases of the realization problem.Sporadic groupNarrower topic: Sporadic groups are the exceptional cases in the classification of finite simple groups.Brauer–Suzuki theoremRelated: The center conclusion rules out nonabelian simple groups with the stated Sylow structure.Cheryl PraegerRelated: The classification of finite simple groups underpins many results about permutation groups.Feit–Thompson theoremBroader topic: A minimal nonsolvable group forces the proof to confront its nonabelian simple structure.