Groups of Order 2048 with Three Generators and Three Relations

2011/09/04 by S. Fouladi, Shirin Fouladi, Fouladi, Shirin +3
Computer Science · Engineering · Mathematics · #Abelian group #Algebra over a field #Coding theory and cryptography #Cyclic group #FOS: Mathematics #Finite Group Theory Research #Generator (circuit theory) #Group Theory (math.GR) #Mathematics #Multiplier (economics) #Order (exchange) #Power (physics) #Pure mathematics #Schur multiplier #graph theory and CDMA systems #math.GR

paper · pdf · doi:10.48550/arxiv.1109.0754

openalex publication_date 2011/09/04 · arxiv created 2011/11/17 · arxiv updated 2011/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that there are exactly seventy-eight 3-generator 2- groups of order 2¹1 with trivial Schur multiplier. We then give 3-generator, 3-relation presentations for forty-eight of them proving that these groups have deficiency zero.

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