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Products of symmetries in unitary groups

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Publication:1361769
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DOI10.1016/S0024-3795(97)80003-1zbMath0878.20032MaRDI QIDQ1361769

Klaus Nielsen, Florian Bünger, Frieder Knüppel

Publication date: 8 January 1998

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


zbMATH Keywords

hyperplanesinvolutionsunitary groupsfactorizationshermitian formsinvolutory automorphismsgroups generated by symmetries


Mathematics Subject Classification ID

Factorization of matrices (15A23) Generators, relations, and presentations of groups (20F05) Bilinear and Hermitian forms (11E39) Other matrix groups over fields (20H20) Orthogonal and unitary groups in metric geometry (51F25)


Related Items (1)

Positive definite functions of finitary isometry groups over fields of odd characteristic.



Cites Work

  • Unnamed Item
  • Products of simple isometries of given conjugacy types
  • Products of reflections in 𝑈(𝑝,𝑞)
  • The reflection length of a transformation in the unitary group over a finite field
  • On the conjugacy classes in the unitary, symplectic and orthogonal groups


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