Products of conjugacy classes of two by two matrices

DOI10.1016/0024-3795(94)00005-XzbMath0840.20040MaRDI QIDQ1904052

Yanyan Li

Publication date: 18 December 1995

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

conjugacy classescovering numbersimilarity classextended covering number

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05)

Related Items (max. 100)

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 ⋮ The Waring problem for Lie groups and Chevalley groups ⋮ On the model theory of higher rank arithmetic groups ⋮ Boundedly simple groups of automorphisms of trees. ⋮ Products of three word maps on simple algebraic groups ⋮ Two-dimensional representations of the free group in two generators over an arbitrary field ⋮ Rigid relations in \(\text{GL}_2F\) ⋮ Geometry of word equations in simple algebraic groups over special fields

Cites Work

• On a question of M. Newman on the number of commutators
• Products of cyclic conjugacy classes in the groups \(\text{PSL}(n,F)\)
• Products of conjugacy classes in groups
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