{"paper":{"title":"Invariants of Specht Modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Haralampos Geranios, Stephen Donkin","submitted_at":"2017-04-08T00:44:08Z","abstract_excerpt":"In [14] Hemmer conjectures that the module of fixed points for the symmetric group $\\Sigma_m$ of a Specht module for $\\Sigma_n$ (with $n>m$), over a field of positive characteristic $p$, has a Specht series, when viewed as a $\\Sigma_{n-m}$-module. We provide a counterexample for each prime $p$. The examples have the same form for $p\\geq 5$ and we treat the cases $p=3$ and $p=2$ separately."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.02412","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}