{"paper":{"title":"Conjugacy classes in Sylow p-subgroups of finite Chevalley groups in bad characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"John D. Bradley, Simon M. Goodwin","submitted_at":"2012-01-06T09:46:23Z","abstract_excerpt":"Let $U = \\mathbf U(q)$ be a Sylow $p$-subgroup of a finite Chevalley group $G = \\mathbf G(q)$. In [GR}] R\\\"ohrle and the second author determined a parameterization of the conjugacy classes of $U$, for $\\mathbf G$ of small rank when $q$ is a power of a good prime for $\\mathbf G$. As a consequence they verified that the number $k(U)$ of conjugacy classes of $U$ is given by a polynomial in $q$ with integer coefficients. In the present paper, we consider the case when $p$ is a bad prime for $\\mathbf G$. We obtain a parameterization of the conjugacy classes of $U$, when $\\mathbf G$ has rank less t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.1381","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"}