Products of involutions in simple Chevalley groups

DOI10.1007/BF01237475zbMath0982.20030MaRDI QIDQ1841862

Erich W. Ellers

Publication date: 7 January 2002

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

Chevalley groupsproducts of involutionsmonomial subgroups

Mathematics Subject Classification ID

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

Related Items (3)

The width of the group \(\mathrm{GL}(6,K)\) with respect to a set of quasiroot elements. ⋮ Conjugacy classes of involutions in the Lorentz group \(\Omega(V)\) and in \(\text{SO}(V)\) ⋮ Width of groups of type $\mathrm E_{6}$ with respect to root elements. I

Cites Work

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• SL(V) is 4-reflectional
• Products of involutions
• On the diameter of a Cayley graph of a simple group of Lie type based on a conjugacy class
• Covering numbers for Chevalley groups
• Products of involutions in the groups of lie typeF₄(k)
• Gauss decomposition with prescribed semisimple part in chevalley groups II exceptional cases

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