Thompson's conjecture on determination of simple group by its conjugacy class size set

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Template:Statistics-characterization of finite simple groups

This article is about a conjecture. View all conjectures and open problems
WARNING: POTENTIAL TERMINOLOGICAL CONFUSION: Please don't confuse this with Feit-Thompson conjecture

Statement

If G,M are finite groups, such that the conjugacy class size set of G is the same as that of M, and such that G is a Finite simple non-abelian group (?) while M is a Centerless group (?), then G and M are isomorphic groups.

References

Journal references