On the Existence of 3-Generator, 3-Relation Finite 2-Groups with a Given (Co)Class

摘要

In this article, we show that for any positive integer k there is a 3-generator, 3-relation finite 2-group of class (respectively, coclass) k provided that k ≥ 4 (respectively, k ≥ 5).View full textDownload full textKey WordsCoclass, Deficiency zero, Finite p-group, Metabelian, Presentation, Schur multiplier2000 Mathematics Subject ClassificationPrimary 20F05, 20D15Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00927872.2010.531830