Brauer–Fowler theorem
id:
brauer-fowler-theorem-306-15371919
title:
Brauer–Fowler theorem
text:
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 in G. Perhaps more important is another result that the authors derive from the same count of involutions, namely that
up to isomorphism there are only a finite number of finite simple groups with a given centralizer of an involution. This suggest
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https://en.wikipedia.org/wiki/Brauer%E2%80%93Fowler_theorem
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date modified:
2021-12-01T08:46:30Z
main entity:
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