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Caltech

Math Graduate Student Seminar

Tuesday, October 8, 2024
12:00pm to 1:00pm
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Linde Hall 255
Probability threshold for group isomorphism
Edward Hou, Mathematics Department, Caltech,

In 1968 Erdős and Turán proved essentially that a (finite) group is commutative as long as more than 5/8 of the pairs in the group commute. We discuss a similar threshold result: Two groups are isomorphic as long as there is a bijection which preserves more than 7/9 of group multiplication.

For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].