{"paper":{"title":"Expansive automorphisms of totally disconnected, locally compact groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.DS","authors_text":"C.R.E. Raja, Helge Glockner","submitted_at":"2013-12-20T10:28:27Z","abstract_excerpt":"We study automorphisms $\\alpha$ of a totally disconnected, locally compact group $G$ which are expansive in the sense that, for some identity neighbourhood $U$, the sets $\\alpha^n(U)$ (for integers $n$) intersect in the trivial group. Notably, we prove that the automorphism induced by $\\alpha$ on $G/N$ for an $\\alpha$-stable closed normal subgroup $N$ of $G$ is always expansive. Further results involve the associated contraction groups $U_\\alpha$ consisting of all $x$ in $G$ such that $\\alpha^n(x) \\to e$ as $n$ tends to infinity. If $\\alpha$ is expansive, then $W := U_\\alpha U_{\\alpha^{-1}}$ i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.5875","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"}