COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Junior Algebra and Number Theory seminar > The McKay conjecture and Brauer's induction theorem

## The McKay conjecture and Brauer's induction theoremAdd to your list(s) Download to your calendar using vCal - Anton Evseev
- Friday 30 October 2009, 14:00-15:00
- MR13.
If you have a question about this talk, please contact Anton Evseev. Let G be a finite group and N be the normalizer of a Sylow p-subgroup of G. The McKay conjecture, which has been open for more than 30 years, states that G and N have the same number of irreducible characters of degree not divisible by p (i.e. of p’-degree). The conjecture has been strengthened in a number of ways. In particular, a refinement due to Isaacs and Navarro suggests a precise correspondence between irreducible character degrees of G and of N modulo p and up to sign, if one considers only characters of p’-degree. I will review these statements and will present a possible new refinement, which implies the Isaacs-Navarro conjecture. The talk will be (reasonably) self-contained, and the conjectures will be illustrated by a number of “small” examples. This talk is part of the Junior Algebra and Number Theory seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Hanchen DaDaDash
- Interested Talks
- Junior Algebra and Number Theory seminar
- MR13
- School of Physical Sciences
- bld31
- ndb35's list
Note that ex-directory lists are not shown. |
## Other listsThe obesity epidemic: Discussing the global health crisis Churchill Undergraduate Physics Seminars Type the title of a new list here## Other talksInvestigating the Functional Anatomy of Motion Processing Pathways in the Human Brain Finding the past: Medieval Coin Finds at the Fitzwilliam Museum Finding meaning in English writing Current-Induced Stresses in Ceramic Lithium-Ion Conductors An intellectual history of the universal basic income Fumarate hydratase and renal cancer: oncometabolites and beyond Unbiased Estimation of the Eigenvalues of Large Implicit Matrices PTPmesh: Data Center Network Latency Measurements Using PTP Sneks long balus A polyfold lab report Neurodevelopment disorders of genetic origin – what can we learn? |