A new proof of Nakayama's Conjecture via Brauer quotients of Young modules

2017/08/15 by William O’Donovan, O'Donovan, William
Mathematics · #20C05 #20C30 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1708.04365

openalex publication_date 2017/08/15 · openalex created_date 2017/08/31 · openalex updated_date 2026/07/28

Abstract

We provide a self-contained proof of the main properties of Brauer quotients of Young modules. We then use these results to give a new inductive proof of Nakayama's Conjecture on the blocks of the symmetric group.

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