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On some branches of the Bruhat–Tits tree

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Publication:2800160
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DOI10.1142/S1793042116500524zbMath1346.11063arXiv1407.7177OpenAlexW2964247446MaRDI QIDQ2800160

I. Saavedra, Luis Arenas-Carmona

Publication date: 15 April 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.7177


zbMATH Keywords

local fieldsquaternion algebrasBruhat-Tits treesEichler orders


Mathematics Subject Classification ID

Trees (05C05) Algebras and orders, and their zeta functions (11S45) Orders in separable algebras (16H10)


Related Items (5)

Maximal orders containing a given sub-order for local fields of even characteristic ⋮ On optimal embeddings and trees ⋮ Bolytrope orders ⋮ Computing embedding numbers and branches of orders via extensions of the Bruhat-Tits tree ⋮ Unit groups of maximal orders in totally definite quaternion algebras over real quadratic fields



Cites Work

  • EICHLER ORDERS, TREES AND REPRESENTATION FIELDS
  • ON ORDERS OF M(2, K) OVER A NON-ARCHIMEDEAN LOCAL FIELD
  • An Embedding Theorem for Quaternion Algebras
  • Unnamed Item
  • Unnamed Item


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