{"paper":{"title":"An algorithm to construct candidates to counterexamples to the Zassenhaus Conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"\\'Angel del R\\'io, Leo Margolis","submitted_at":"2017-10-16T11:31:46Z","abstract_excerpt":"Let $G$ be a finite group, $N$ a nilpotent normal subgroup of $G$ and let $\\mathrm{V}(\\mathbb{\\Z} G, N)$ denote the group formed by the units of the integral group ring $\\mathbb{\\Z} G$ of $G$ which map to the identity under the natural homomorphism $\\mathbb{\\Z} G \\rightarrow \\mathbb{\\Z} (G/N)$. Sehgal asked whether any torsion element of $\\mathrm{V}(\\mathbb{\\Z} G, N)$ is conjugate in the rational group algebra of $G$ to an element of $G$. This is a special case of the Zassenhaus Conjecture.\n  By results of Cliff and Weiss and Hertweck, Sehgal's Problem has a positive solution if $N$ has at mos"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.05629","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"}