How long does it take to generate a group?

DOI10.1016/S0021-8693(02)00671-3zbMath1061.20046arXiv0911.2908MaRDI QIDQ1868919

Benjamin Klopsch, Vsevolod F. Lev

Publication date: 28 April 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.2908

zbMATH Keywords

generating setsfinite Abelian groupsdiameters of Cayley graphsdiameters of finite groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Finite abelian groups (20K01)

Related Items (10)

Generating binary spaces. ⋮ Direct and inverse theorems on signed sumsets of integers ⋮ Three questions of Bertram on locally maximal sum-free sets ⋮ Direct and inverse problems for restricted signed sumsets in integers ⋮ Factoring formal maps into reversible or involutive factors. ⋮ Large sum-free sets in \(\mathbb{Z}_5^n\) ⋮ The minimum size of signed sumsets ⋮ Generating abelian groups by addition only ⋮ Conjugation diameter of the symmetric groups ⋮ On the minimum size of signed sumsets in elementary abelian groups

Cites Work

• Quasiperfect linear binary codes with distance 4 and complete caps in projective geometry
• Subset sums in binary spaces
• Sum-free sets in vector spaces over \(GF(2)\)
• On the spectrum of the values \(k\) for which a complete \(k\)-cap in \(PG(n,q)\) exists
• Generating binary spaces.
• Abschätzung der asymptotischen Dichte von Summenmengen
• Ein Satz über abelsche Gruppen mit Anwendungen auf die Geometrie der Zahlen
• On Bases for $\sigma$-Finite Groups.
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