English

The E-normal structure of Petrov's odd unitary groups over commutative rings

K-Theory and Homology 2018-09-25 v1

Abstract

For an odd quadratic space VV of Witt index 3\geq 3 over a commutative ring with pseudoinvolution, we classify the subgroups of the odd unitary group U(V)U(V) that are normalized by the elementary subgroup EU(e1,e1)(V)EU_{(e_1,e_{-1})}(V) defined by a hyperbolic pair (e1,e1)(e_1,e_{-1}) in VV. Further we correct some minor mistakes that exist in the literature on odd unitary groups.

Keywords

Cite

@article{arxiv.1809.08543,
  title  = {The E-normal structure of Petrov's odd unitary groups over commutative rings},
  author = {Raimund Preusser},
  journal= {arXiv preprint arXiv:1809.08543},
  year   = {2018}
}