{"paper":{"title":"On some Galois covers of the Suzuki and Ree curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AG","authors_text":"Giovanni Zini, Luciane Quoos, Maria Montanucci, Massimo Giulietti","submitted_at":"2016-09-29T13:55:54Z","abstract_excerpt":"We determine the full automorphism group of two recently constructed families $\\tilde{\\mathcal{S}}_q$ and $\\tilde{\\mathcal{R}}_q$ of maximal curves over finite fields. These curves are covers of the Suzuki and Ree curves, and are analogous to the Giulietti-Korchm\\'aros cover of the Hermitian curve. We also show that $\\tilde{\\mathcal{S}}_q$ is not Galois covered by the Hermitian curve maximal over $\\mathbb{F}_{q^4}$, and $\\tilde{\\mathcal{R}}_q$ is not Galois covered by the Hermitian curve maximal over $\\mathbb{F}_{q^6}$. Finally, we compute the genera of many Galois subcovers of $\\tilde{\\mathca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.09343","kind":"arxiv","version":3},"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"}