{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:52:29Z","timestamp":1753894349656,"version":"3.41.2"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","license":[{"start":{"date-parts":[[2020,9,9]],"date-time":"2020-09-09T00:00:00Z","timestamp":1599609600000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>Small cancellation groups form an interesting class with many desirable\nproperties. It is a well-known fact that small cancellation groups are generic;\nhowever, all previously known results of their genericity are asymptotic and\nprovide no information about \"small\" group presentations. In this note, we give\nclosed-form formulas for both lower and upper bounds on the density of small\ncancellation presentations, and compare our results with experimental data.<\/jats:p>","DOI":"10.46298\/jgcc.2020.12.2.6200","type":"journal-article","created":{"date-parts":[[2021,3,4]],"date-time":"2021-03-04T17:40:30Z","timestamp":1614879630000},"source":"Crossref","is-referenced-by-count":0,"title":["Density of Metric Small Cancellation in Finitely Presented Groups"],"prefix":"10.46298","volume":"Volume 12, Issue 2","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6803-1143","authenticated-orcid":false,"given":"Alex","family":"Bishop","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9108-1325","authenticated-orcid":false,"given":"Michal","family":"Ferov","sequence":"additional","affiliation":[]}],"member":"25203","published-online":{"date-parts":[[2020,9,9]]},"container-title":["journal of Groups, complexity, cryptology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/gcc.episciences.org\/6771\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/gcc.episciences.org\/6771\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,20]],"date-time":"2023-06-20T10:11:02Z","timestamp":1687255862000},"score":1,"resource":{"primary":{"URL":"https:\/\/gcc.episciences.org\/6200"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,9]]},"references-count":0,"URL":"https:\/\/doi.org\/10.46298\/jgcc.2020.12.2.6200","relation":{"has-preprint":[{"id-type":"arxiv","id":"2002.07356v1","asserted-by":"subject"}],"is-same-as":[{"id-type":"arxiv","id":"2002.07356","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.2002.07356","asserted-by":"subject"}]},"ISSN":["1869-6104"],"issn-type":[{"type":"electronic","value":"1869-6104"}],"subject":[],"published":{"date-parts":[[2020,9,9]]},"article-number":"6200"}}