### The probability of generating invariably a finite simple group

Algebra Seminar

28th April 2021, 2:30 pm – 3:30 pm

Online, Zoom

We say a group is invariably generated by a subset if every tuple in the product of conjugacy classes of elements in that subset is a generating tuple.

We discuss the history of computational Galois theory and probabilistic generation problems to motivate some results about the probability of generating invariably a finite simple group, joint work with Daniele Garzoni. We also highlight some methods for studying probabilistic invariable generation.

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