English

On flips of unitary buildings I: Classification of flips

Group Theory 2010-12-13 v1

Abstract

We classify flips of buildings arising from non-degenerate unitary spaces of dimension at least 4 over finite fields of odd characteristic in terms of their action on the underlying vector space. We also construct certain geometries related to flips and prove that these geometries are flag transitive.

Keywords

Cite

@article{arxiv.1012.2301,
  title  = {On flips of unitary buildings I: Classification of flips},
  author = {Rieuwert J. Blok and Benjamin Carr},
  journal= {arXiv preprint arXiv:1012.2301},
  year   = {2010}
}