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Andrei Smolensky
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Statements about groups proved using semigroups

Out of curiosity, has a statement about groups ever been proved using the theory of semigroups?

By a "proof unsing the theory of semigroups" I do not mean that some steps in the proof are in fact statements about semigroups rather than groups. What I'm looking for are proofs which involve semigroups in a substantial way, say by constructing some semigroup related to the group of interest.

Andrei Smolensky
  • 3.2k
  • 1
  • 22
  • 34