Thirteenth Algorithmic Number Theory Symposium ANTS-XIII University of Wisconsin, Madison July 16 – 20, 2018 Thirteenth Algorithmic Number Theory Symposium (ANTS-XIII) July 16 – 20, 2018

Computing normalizers of tiled orders in M_n(k)

Angelica Babei

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. In this paper, we describe an algorithm for computing normalizers of tiled orders in matrix algebras.

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