@inbook{42788,
  abstract     = {{We classify all one-class genera of admissible lattice chains of length at least 2 in hermitian spaces over number fields. If L is a lattice in the chain and p the prime ideal dividing the index of the lattices in the chain, then the {p}-arithmetic group Aut(L{p}) acts chamber transitively on the corresponding Bruhat-Tits building. So our classification provides a step forward to a complete classification of these chamber transitive groups which has been announced 1987 (without a detailed proof) by Kantor, Liebler and Tits. In fact we find all their groups over number fields and one additional building with a discrete chamber transitive group.}},
  author       = {{Kirschmer, Markus and Nebe, Gabriele}},
  booktitle    = {{Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory}},
  isbn         = {{9783319705651}},
  publisher    = {{Springer International Publishing}},
  title        = {{{One Class Genera of Lattice Chains Over Number Fields}}},
  doi          = {{10.1007/978-3-319-70566-8_22}},
  year         = {{2018}},
}