{"paper":{"title":"Double Covers of Symplectic Dual Polar Graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"G. Eric Moorhouse, Jason Williford","submitted_at":"2015-04-04T22:56:09Z","abstract_excerpt":"Let $\\Gamma=\\Gamma(2n,q)$ be the dual polar graph of type $Sp(2n,q)$. Underlying this graph is a $2n$-dimensional vector space $V$ over a field ${\\mathbb F}_q$ of odd order $q$, together with a symplectic (i.e. nondegenerate alternating bilinear) form $B:V\\times V\\to{\\mathbb F}_q$. The vertex set of $\\Gamma$ is the set ${\\mathcal V}$ of all $n$-dimensional totally isotropic subspaces of $V$. If $q\\equiv1$ mod 4, we obtain from $\\Gamma$ a nontrivial two-graph $\\Delta=\\Delta(2n,q)$ on ${\\mathcal V}$ invariant under $PSp(2n,q)$. This two-graph corresponds to a double cover $\\widehat{\\Gamma}\\to\\Ga"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.01067","kind":"arxiv","version":2},"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"}