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HIMR-sponsored Algebra seminar - Henry Bradford

Dates:27 May 2025
Times:14:00 - 15:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Current University students
Speaker:Henry Bradford
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  • Department of Mathematics

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  • In category "Seminar"
  • In group "(Maths) Algebra"
  • By Department of Mathematics

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

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Simon Crawford

simon.crawford@manchester.ac.uk

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