University of Cambridge > Talks.cam > Algebra and Representation Theory Seminar > Characters of odd degree of symmetric groups

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Characters of odd degree of symmetric groups

Download to your calendar using vCal

  • UserEugenio Giannelli
  • ClockWednesday 01 February 2017, 16:30-17:30
  • HouseMR12.

If you have a question about this talk, please contact Christopher Brookes .

Let G be a finite group and let P be a Sylow p-subgroup of G. Denote by Irr_{p’}(G) the set consisting of all irreducible characters of G of degree coprime to p. The McKay Conjecture asserts that |Irr_{p’}(G)|=|Irr_{p’}(N_G(P))|. Sometimes, we do not only have the above equality, but it is also possible to determine explicit natural bijections (McKay bijections) between Irr_{p’}(G) and Irr_{p’}(N_G(P)). In the first part of this talk I will describe a recently obtained natural McKay bijection for symmetric groups S_n at the prime p=2. In the second part of the talk I will present a recent joint work with A. Kleshchev, G. Navarro and P.H. Tiep, concerning the construction of natural bijections between Irr_{p’}(G) and Irr_{p’}(H) for various classes of finite groups G and corresponding subgroups H of odd index.

This talk is part of the Algebra and Representation Theory Seminar series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Heart and Lung Research Institute (R.100) or Virtually via Zoom: https://sanger.zoom.us/j/97135269370?pwd=YgsqXLPVYzO9oYY5CObjlWxNPtmBus.1 Teams Livestream CEDiR

Other talks

Title to be confirmed Talk TBC Title TBC Title to be confirmed Title to be confirmed Title to be confirmed
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity