Products of conjugacy classes in Chevalley groups. II: Covering and generation

DOI10.1007/BF02764078zbMath1007.20042OpenAlexW2033339399MaRDI QIDQ696288

Nikolai Gordeev, Jan Saxl

Publication date: 1 January 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02764078

zbMATH Keywords

conjugacy classesChevalley groupscovering numbersgenerating numbers

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over arbitrary fields (20G15) Generators, relations, and presentations of groups (20F05)

Related Items (7)

Elementary covering numbers in odd-dimensional unitary groups ⋮ Generically free representations. I: Large representations ⋮ On the length of commutators in Chevalley groups. ⋮ Products of Conjugacy Classes in the Special Linear Groups ⋮ Products of conjugacy classes in Chevalley groups over local rings ⋮ Gauss Decomposition with Prescribed Semisimple Part in Quadratic Groups ⋮ On eigenvalues of group elements in representations of simple algebraic groups and finite Chevalley groups.

Cites Work

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• Products of conjugacy classes in Chevalley groups. I: Extended covering numbers
• Probabilistic generation of finite simple groups
• Products of conjugacy classes in algebraic groups. I
• Lectures on Chevalley Groups
• Diameters of finite simple groups: sharp bounds and applications

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