English

On isometries of twin buildings

Group Theory 2023-04-04 v1

Abstract

A twin building consists of two buildings that are twinned by a codistance function. We prove that the local structure of a twin building uniquely determines the two buildings up to isomorphism. This has been known for twin buildings satisfying a technical condition (co).

Keywords

Cite

@article{arxiv.2303.18035,
  title  = {On isometries of twin buildings},
  author = {Sebastian Bischof and Anton Chosson and Bernhard Mühlherr},
  journal= {arXiv preprint arXiv:2303.18035},
  year   = {2023}
}

Comments

14 pages