Browsing by Subject "unitary group"

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    • Generators and relations for the unitary group of a skew hermitian form over a local ring 

      Cruickshank, J.; Szechtman, F. (Elsevier BV, 2018-04-01)
      Let (S, *) be an involutive local ring and let U(2m, S) be the unitary group associated to a nondegenerate skew hermitian form defined on a free S-module of rank 2m. A presentation of U(2m, S) is given in terms of Bruhat ...

    • Unitary groups over local rings 

      CRUICKSHANK, J.; HERMAN, A.; QUINLAN, R.; SZECHTMAN, F. (World Scientific Pub Co Pte Lt, 2014-03-01)
      We study hermitian forms and unitary groups defined over a local ring, not necessarily commutative, equipped with an involution. When the ring is finite we obtain formulae for the order of the unitary groups as well as ...