Vol. 2, 2019

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Computing normalizers of tiled orders in $M_n(k)$

Angelica Babei

Vol. 2 (2019), No. 1, 55–68
Abstract

Tiled orders are a class of orders in matrix algebras over a non-Archimedean local field generalizing maximal and hereditary orders. Normalizers of tiled orders contain valuable information for finding type numbers of associated global orders. We describe an algorithm for computing normalizers of tiled orders in matrix algebras.

Keywords
tiled order, normalizer, Bruhat–Tits building, Link graph, quiver
Mathematical Subject Classification 2010
Primary: 11H06, 11S45
Milestones
Received: 28 February 2018
Revised: 12 June 2018
Accepted: 9 September 2018
Published: 13 February 2019
Authors
Angelica Babei
Department of Mathematics
Dartmouth College
Hanover, NH
United States