A sharp diameter bound for unipotent groups of classical type over ℤ/pℤ

DOI10.1515/FORUM.2010.018zbMath1204.20068arXivmath/0510506MaRDI QIDQ3550695

Jordan S. Ellenberg, Julianna S. Tymoczko

Publication date: 1 April 2010

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510506

zbMATH Keywords

Cayley graphsdiameter bounds\(\text{SL}_n(\mathbb{F}_q)\)

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Cites Work

• Unnamed Item
• Comparison techniques for random walk on finite groups
• Moderate growth and random walk on finite groups
• Statistical properties of locally free groups with applications to braid groups and growth of random heaps
• A super-class walk on upper-triangular matrices
• Random walks on the groups of upper triangular matrices
• Growth and generation in \(\text{SL}_2(\mathbb{Z}/p\mathbb{Z})\).
• The minimum-length generator sequence problem is NP-hard

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