Products of Conjugacy Classes in the Special Linear Groups

DOI10.1081/AGB-120022812zbMath1032.20031MaRDI QIDQ4420234

D. M. Rodgers, Jan Saxl

Publication date: 14 August 2003

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

conjugacy classesspecial linear groupsextended covering numbers

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (9)

The extended covering number of \(\text{SL}_n\) is \(n+1\). ⋮ On products of conjugacy classes in general linear groups ⋮ Elementary covering numbers in odd-dimensional unitary groups ⋮ Covering and growth for group subsets and representations ⋮ Covering numbers for simple algebraic groups ⋮ Covering GL(V) and products of blockcyclic matrices ⋮ A generalization of a theorem of Rodgers and Saxl for simple groups of bounded rank ⋮ A generalization of the diameter bound of Liebeck and Shalev for finite simple groups ⋮ McKay graphs for alternating and classical groups

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
• Cycles comme produit de deux permutations de classes données
• Products of cyclic conjugacy classes in the groups \(\text{PSL}(n,F)\)
• On the diameter of a Cayley graph of a simple group of Lie type based on a conjugacy class
• The covering number of the group \(\text{PSL}_ n(F)\)
• Products of conjugacy classes in groups
• Regular elements of semisimple algebraic groups
• GENERATING AND COVERING THE ALTERNATING OR SYMMETRIC GROUP
• Diameters of finite simple groups: sharp bounds and applications

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