{"paper":{"title":"On palindromic width of certain extensions and quotients of free nilpotent groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Krishnendu Gongopadhyay, Valeriy G. Bardakov","submitted_at":"2014-02-21T14:56:41Z","abstract_excerpt":"In arXiv:1303.1129, the authors provided a bound for the palindromic width of free abelian-by-nilpotent group $AN_n$ of rank $n$ and free nilpotent group ${\\rm N}_{n,r}$ of rank $n$ and step $r$. In the present paper we study palindromic widths of groups $\\widetilde{AN}_n$ and $\\widetilde{\\rm N}_{n,r}$. We denote by $\\widetilde{G}_n = G_n / \\langle \\langle x_1^2, \\ldots, x_n^2 \\rangle \\rangle$ the quotient of group $G_n = \\langle x_1, \\ldots, x_n \\rangle$, which is free in some variety by the normal subgroup generated by $x_1^2, \\ldots, x_n^2$. We prove that the palindromic width of the quotie"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5314","kind":"arxiv","version":2},"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"}