{"paper":{"title":"Braided equivariant crossed modules and cohomology of $\\Gamma $-modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"Che Thi Kim Phung, Nguyen Tien Quang, Pham Thi Cuc","submitted_at":"2013-04-22T10:32:03Z","abstract_excerpt":"If $\\Gamma $ is a group, then braided $\\Gamma $-crossed modules are classified by braided strict $\\Gamma $-graded categorial groups. The Schreier theory obtained for $\\Gamma $-module extensions of the type of an abelian $\\Gamma $-crossed module is a generalization of the theory of $\\Gamma $-module extensions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.5909","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"}