Products of conjugacy classes in Chevalley groups. I: Extended covering numbers

DOI10.1007/BF02764077zbMath1007.20041OpenAlexW2051695580MaRDI QIDQ696287

Jan Saxl, Nikolai Gordeev

Publication date: 31 October 2002

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

Full work available at URL: https://doi.org/10.1007/bf02764077

zbMATH Keywords

conjugacy classesChevalley groupsBruhat decompositionsextended covering numbersCoxeter cells

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 (17)

Products of conjugacy classes in simple algebraic groups in terms of diagrams ⋮ On the number of conjugates defining the solvable radical of a finite group. ⋮ Elementary covering numbers in odd-dimensional unitary groups ⋮ Covering numbers for simple algebraic groups ⋮ Bounded generation for congruence subgroups of Sp4(R) ⋮ Generically free representations. I: Large representations ⋮ Uniform simplicity of groups with proximal action ⋮ Verbal width in anabelian groups ⋮ On the length of commutators in Chevalley groups. ⋮ Products of conjugacy classes in Chevalley groups. II: Covering and generation ⋮ From Thompson to Baer-Suzuki: a sharp characterization of the solvable radical. ⋮ Products of Conjugacy Classes in the Special Linear Groups ⋮ Baer-Suzuki theorem for the solvable radical of a finite group. ⋮ Products of conjugacy classes in Chevalley groups over local rings ⋮ Gauss Decomposition with Prescribed Semisimple Part in Quadratic Groups ⋮ CHARACTERIZATION OF SOLVABLE GROUPS AND SOLVABLE RADICAL ⋮ Sums of orbits of algebraic groups. I.

Cites Work

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• The covering numbers of the sporadic simple groups
• On the diameter of a Cayley graph of a simple group of Lie type based on a conjugacy class
• Products of cyclic similarity classes in the groups \(\text{GL}_n(F)\)
• Covering numbers for Chevalley groups
• Probabilistic generation of finite simple groups
• Products of conjugacy classes in algebraic groups. I
• The covering number of the group \(\text{PSL}_ n(F)\)
• Products of conjugacy classes in groups
• Lectures on Chevalley Groups
• Gauss decomposition with prescribed semisimple part in classical chevalley groups
• The length-problem for Eichler-transformations
• Diameters of finite simple groups: sharp bounds and applications

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