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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > On plethysms and Sylow branching coefficients

## On plethysms and Sylow branching coefficientsAdd to your list(s) Download to your calendar using vCal - Stacey Law (University of Cambridge)
- Thursday 12 May 2022, 11:20-11:50
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. GR2W01 - Counting conjectures and beyond We give a recursive formula for plethysm coefficients involved in Foulkes’ Conjecture, a long-standing open problem lying at the intersection of the theory of symmetric functions, the representation theory of symmetric groups and algebraic combinatorics. From this we deduce a stability result and resolve two conjectures of de Boeck concerning plethysms. We also obtain new results on Sylow branching coefficients for symmetric groups for the prime 2, the divisibility properties of which were recently used to characterise whether a Sylow subgroup of a finite group is normal and confirm a prediction of Malle and Navarro. This is joint work with Y. Okitani. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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