The period of periodic Young modules

• DOI: 10.1007/s00013-012-0358-2
• Publication Date: 2012-02-07T18:33:22Z
• Authors: Christopher C. Gill
• Keywords: 0101 mathematics; 01 natural sciences

The family of Young modules which are periodic has been determined in Hemmer and Nakano (J Algebra 254:422–440, 2002). We determine the period of all periodic Young modules in all characteristics. In particular, the period is dependent only on the characteristic. We calculate minimal projective resolutions of periodic Young modules in weight one blocks and in the principal block of \({\mathcal {S}_{2p}}\) when p ≥ 3.