Products of conjugacy classes in Chevalley groups over local rings

DOI10.1090/S1061-0022-06-00904-6zbMath1102.20033OpenAlexW1522780723MaRDI QIDQ5481302

Jan Saxl, Nikolai Gordeev

Publication date: 9 August 2006

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-06-00904-6

zbMATH Keywords

Chevalley groupssimply connected algebraic groupsproducts of conjugacy classesquasisimple groupsextended covering numberscomplete local rings

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Generators, relations, and presentations of groups (20F05) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (6)

Commutator lengths in general linear group over a skew-field ⋮ Word maps on perfect algebraic groups ⋮ Commutator width of Chevalley groups over rings of stable rank 1 ⋮ Products of commutators on a general linear group over a division algebra ⋮ Gauss Decomposition with Prescribed Semisimple Part in Quadratic Groups ⋮ Geometry of word equations in simple algebraic groups over special fields

Cites Work

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• Products of conjugacy classes in Chevalley groups. I: Extended covering numbers
• Products of conjugacy classes in Chevalley groups. II: Covering and generation
• Chevalley groups over local rings
• On the conjectures of J. Thompson and O. Ore
• Gauss decomposition with prescribed semisimple part in chevalley groups iii: Finite twisted groups

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