An online session of the Algebra and Logic Seminar will be held on June 4, 2021 (Friday) at 1:00 p.m. (+3 UTC)
A talk on
Schur’s exponent conjecture
will be delivered by Michael Vaughan-Lee (Oxford University Mathematical Institute, United Kingdom).
Abstract. If G is a finite group and we write G = F/R where F is a free group, then the Schur multiplier M(G) is (R \cap F’)/[R, F].
There is a long-standing conjecture attributed to I. Schur that the exponent of M(G) divides the exponent of G. It is easy to show that this is true for groups G of exponent 2 or exponent 3, but it has been known since 1974 that the conjecture fails for exponent 4. However the truth or otherwise of this conjecture has remained open up till now for groups of odd exponent.
In my talk I describe counterexamples to the conjecture of exponent 5 and exponent 9.
The seminar will be held via Zoom and everyone can join at:
https://us02web.zoom.us/j/85137375021?pwd=RE5QczdFTE1xL1R6MnI2b1lkcGczQT09
Topic: Онлайн семинар на секция “Алгебра и логика”
Time: June 04, 2021 01:00 PM Sofia
Meeting ID: 851 3737 5021
Passcode: 035647
Algebra and Logic Department, IMI-BAS
http://www.math.bas.bg/algebra/seminarAiL/
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