Groups of Order 2048 with Three Generators and Three Relations

zbMATH Open1256.20032arXiv1109.0754MaRDI QIDQ4648684

R. Orfi, S. Fouladi

Publication date: 15 November 2012

Abstract: It is shown that there are exactly seventy-eight 3-generator 2- groups of order 2^11 with trivial Schur multiplier. We then give 3-generator, 3-relation presentations for forty-eight of them proving that these groups have deficiency zero.

Full work available at URL: https://arxiv.org/abs/1109.0754

zbMATH Keywords

finite \(p\)-groupsSchur multiplierslower exponent-\(p\) central seriesdeficiency zero presentations

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15)

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