SL(V) is 4-reflectional

DOI10.1007/BF00181192zbMath0722.20033OpenAlexW2055532137MaRDI QIDQ755896

Frieder Knüppel, Klaus Nielsen

Publication date: 1991

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00181192

zbMATH Keywords

special linear groupproduct of four involutionsproduct of three involutions

Mathematics Subject Classification ID

Factorization of matrices (15A23) Linear algebraic groups over arbitrary fields (20G15) Generators, relations, and presentations of groups (20F05) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05)

Related Items (19)

PRODUCTS OF INVOLUTIONS IN THE FINITE CHEVALLEY GROUPS OF TYPE ⋮ Products of involutions in Steinberg group over skew fields. ⋮ Products of involutory matrices over rings ⋮ The extended covering number of \(\text{SL}_n\) is \(n+1\). ⋮ The involution width of finite simple groups ⋮ Decomposition of Steinberg group into involutions ⋮ Reality of unipotent elements in classical Lie groups ⋮ Involution widths of skew linear groups generated by involutions ⋮ Characteristic covering numbers of finite simple groups ⋮ \(GL^{\pm{}}_ n(R)\) is 5-reflectional ⋮ The width of the group \(\mathrm{GL}(6,K)\) with respect to a set of quasiroot elements. ⋮ Decomposition of the Steinberg group over local rings into involutions ⋮ Applications of character theory of finite simple groups ⋮ On the \(p\)-width of finite simple groups ⋮ The group generated by Riordan involutions ⋮ Width of groups of type $\mathrm E_{6}$ with respect to root elements. I ⋮ Products of involutions in simple Chevalley groups ⋮ Products of involutions in the groups of lie typeF₄(k) ⋮ Decomposition of matrices into commutators of involutions

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