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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Pure Maths Colloquium: Simple groups, random generation, and algorithms for finitely presented groups

Presented by Martin Liebeck, Imperial College London

5 December 2016 16:00 in CM221

If one picks two elements at random in a finite non-abelian simple group G (such as an alternating group), then these two elements will generate G with probability tending to 1 as the order of G tends to infinity. I will discuss this result and variations, and show how they connect with some basic questions concerning the existence of algorithms that determine finite images of finitely presented groups. No specialist knowledge will be assumed.

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