How long does it take to generate a group?
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Publication:1868919
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
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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