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- Brauer–Fowler_theorem abstract "In mathematical finite group theory, the Brauer–Fowler theorem, proved by Brauer & Fowler (1955), states that if a group G has even order g > 2 then it has a proper subgroup of order greater than g1/3. The technique of the proof is to count involutions (elements of order 2) in G. Perhaps moreimportant is another result that the authors derive from the same count of involutions, namely thatup to isomorphism there are only a finite number of finite simple groups with a given centralizer of an involution. This suggested that finite simple groups could be classified by studying their centralizers of involutions, and it led to the discovery of several sporadic simple groups. Later it motivated a part of the classification of finite simple groups.".
- Brauer–Fowler_theorem wikiPageID "29573136".
- Brauer–Fowler_theorem wikiPageRevisionID "569383568".
- Brauer–Fowler_theorem subject Category:Finite_groups.
- Brauer–Fowler_theorem subject Category:Theorems_in_group_theory.
- Brauer–Fowler_theorem comment "In mathematical finite group theory, the Brauer–Fowler theorem, proved by Brauer & Fowler (1955), states that if a group G has even order g > 2 then it has a proper subgroup of order greater than g1/3. The technique of the proof is to count involutions (elements of order 2) in G.".
- Brauer–Fowler_theorem label "Brauer–Fowler theorem".
- Brauer–Fowler_theorem sameAs Brauer%E2%80%93Fowler_theorem.
- Brauer–Fowler_theorem sameAs Q4958229.
- Brauer–Fowler_theorem sameAs Q4958229.
- Brauer–Fowler_theorem wasDerivedFrom Brauer–Fowler_theorem?oldid=569383568.