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

Question. Has a statement about groups ever been proved using the theory of semigroups?

By a "proof unsing"a proof using 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.

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.

Question. Has a statement about groups ever been proved using the theory of semigroups?

By "a proof using 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.

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Andrei Smolensky
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.