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University of Cambridge > Talks.cam > Junior Algebra/Logic/Number Theory seminar > Conjugation Modules for Symmetric Groups

## Conjugation Modules for Symmetric GroupsAdd to your list(s) Download to your calendar using vCal - William O'Donovan, Royal Holloway
- Friday 04 November 2016, 15:00-16:00
- CMS, MR15.
If you have a question about this talk, please contact Nicolas DuprÃ©. The study of the structure of permutation modules for symmetric groups over fields of positive characteristic is an active area of research in the modular representation theory of symmetric groups. In this talk, I will introduce a family of permutation modules for the symmetric group S_{pn}, the so-called conjugation modules, obtained by inducing the trivial module for the wreath product C_p \wr S_n to S_{pn}. I will present results parametrising the vertices of the conjugation modules (and explain the modular representation theory background, e.g. the definition of a vertex of a module) , and outline a connection to Foulkes’ Conjecture, one of the most important open problems in the characteristic zero representation theory of the symmetric group. This talk is part of the Junior Algebra/Logic/Number Theory seminar series. ## This talk is included in these lists:- All CMS events
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