On the diameter of Cayley graphs of classical groups with generating sets containing a transvection
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Publication:6594752
DOI10.1007/s11856-024-2605-1zbMath1548.20038MaRDI QIDQ6594752
Zoltán Halasi, Gábor Somlai, Martino Garonzi
Publication date: 28 August 2024
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12) Finite simple groups and their classification (20D05)
Cites Work
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- Approximate subgroups of linear groups.
- Discrete groups, expanding graphs and invariant measures. With an appendix by Jonathan D. Rogawski
- On the diameter of Cayley graphs of the symmetric group
- On the diameter of permutation groups
- Groups generated by elations
- Babai's conjecture for high-rank classical groups with random generators
- Diameter of Cayley graphs of \(\mathrm{SL}(n,p)\) with generating sets containing a transvection
- Growth and generation in \(\text{SL}_2(\mathbb{Z}/p\mathbb{Z})\).
- Growth in \(\mathrm{SL}_3(\mathbb Z/p\mathbb Z)\).
- On the diameter of permutation groups.
- Growth in finite simple groups of Lie type
- The Finite Simple Groups
- Orbits Under Symplectic Transvections I
- An improved diameter bound for finite simple groups of Lie type
- A diameter bound for finite simple groups of large rank
- Sets of Transvections Generating Subgroups Isomorphic to Special Linear Groups
- Endliche Gruppen I
- Diameters of finite simple groups: sharp bounds and applications
- New Dimensional Estimates for Subvarieties of Linear Algebraic Groups
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