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Manchester Algebra Seminar - Stacey Law

Dates:13 April 2021
Times:13:00 - 14:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, Current University students
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  • Department of Mathematics

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  • In group "(Maths) Algebra"
  • In group "(Maths) Maths seminar series"
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Speaker: Stacey Law

title: Sylow branching coefficients and a conjecture of Malle and Navarro

abstract: The relationship between the representation theory of a finite group and that of its Sylow subgroups is a key area of interest. For example, recent results of Malle–Navarro and Navarro–Tiep–Vallejo have shown that important structural properties of a finite group G are controlled by the permutation character 1P | G , where P is a Sylow subgroup of G and 1P denotes the trivial character of P. We introduce so-called Sylow branching coefficients for symmetric groups to describe multiplicities associated with these induced characters, and as an application confirm a prediction of Malle and Navarro from 2012, in joint work with E. Giannelli, J. Long and C. Vallejo.

Time: 1pm Place: Zoom

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Kieran Calvert

kieran.calvert@manchester.ac.uk

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