Bireflectionality of orthogonal and symplectic groups

DOI10.1007/BF01899190zbMath0491.51019MaRDI QIDQ1167415

Erich W. Ellers, Wolfgang Nolte

Publication date: 1982

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

symplectic grouporthogonal groupbireflectional groupdecomposition into regular subspaces

Mathematics Subject Classification ID

Other matrix groups over fields (20H20) Orthogonal and unitary groups in metric geometry (51F25)

Related Items (14)

On bireflectionality and trireflectionality of orthogonal groups ⋮ On products of two involutions in the orthogonal group of a vector space ⋮ On strong reality of finite simple groups. ⋮ ON INVOLUTIONS AND INDICATORS OF FINITE ORTHOGONAL GROUPS ⋮ Generation of the symplectic group by involutions ⋮ Strongly real elements in finite simple orthogonal groups. ⋮ Products of reflections in ⋮ On the orbital diameter of groups of diagonal type ⋮ Strong reality of finite simple groups. ⋮ Unnamed Item ⋮ Siegel transformations for even characteristic. ⋮ Bireflectionality of the weak orthogonal and the weak symplectic groups ⋮ Cyclic decomposition of unitary spaces ⋮ Products of involutions in the groups of lie typeF₄(k)

Cites Work

• Products of two involutory matrices over skewfields
• Product of two involutions
• Bireflectionality in Classical Groups
• A Decomposition of Orthogonal Transformations
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Bireflectionality of orthogonal and symplectic groups