{"paper":{"title":"Subring subgroups in symplectic groups in characteristic 2","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RA","authors_text":"Alexei Stepanov, Anthony Bak","submitted_at":"2015-12-07T23:53:04Z","abstract_excerpt":"In 2012 the second author obtained a description of the lattice of subgroupsof a Chevalley group $G(\\Phi,A)$, containing the elementary subgroup $E(\\Phi,K)$ over a subring $K\\subseteq A$ provided $\\Phi=B_n,$ $C_n$ or $F_4$, $n\\ge2$, and $2$ is invertible in $K$. It turns out that this lattice splits into a disjoint union of \"sandwiches\", parametrized by intermediate subrings between $K$ and $A$.\n  In the current article a similar result is proved for $\\Phi=B_n$ or $C_n$, $n\\ge3$, and $2=0$ in $K$. In this settings one has to introduce more sandwiches, namely, the sandwiches are parametrized by"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.02289","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"}