{"paper":{"title":"Invariant distributions on projective spaces over local fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Guyan Robertson","submitted_at":"2010-09-24T16:03:11Z","abstract_excerpt":"Let $\\Gamma$ be an $\\widetilde A_n$ subgroup of $PGL_{n+1}(K)$, with $n\\ge 2$, where $K$ is a local field with residue field of order $q$ and let $\\bb P^n_{K}$ be projective $n$-space over $K$. The module of coinvariants $H_0(\\Gamma; C(P^n_{K},Z))$ is shown to be finite. Consequently there is no nonzero $\\Gamma$-invariant $Z$-valued distribution on $P^n_{K}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4879","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"}