HIMR-sponsored Algebra seminar - Henry Bradford
| Dates: | 27 May 2025 |
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| Times: | 14:00 - 15:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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| Speaker: | Henry Bradford |
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Title: Non-singular identities for finite groups
Abstract: A law (respectively an identity with constants) for a group G is an equation in one or more variables (respectively variables and constants from G) which is satisfied by all tuples of elements from G. Every finite group G satisfies some law, and the length of the shortest law, or the shortest identity with constants, is a natural invariant of G. We survey some of what is known about the asymptotic behaviour of these lengths in various families of finite groups. Motivated by a conjecture of Larsen and Shalev concerning the class of profinite groups satisfying laws, we draw particular attention to the class of "non-singular" identities with constants. Joint work with Kivanç Ersoy, Jakob Schneider and Andreas Thom.
Speaker
Henry Bradford
Organisation: University of Cambridge
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Frank Adams 1
Alan Turing Building
Manchester
