Automorphisms of tiled orders

Mathematics – Rings and Algebras

Scientific paper

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9 pages

Scientific paper

Let Lambda be a tiled R-order. We give a description of Aut_R(Lambda) as the
semidirect product of Inn(Lambda) and a certain subgroup of Aut(Q(Lambda)),
where Q(Lambda) is the link graph of Lambda. Additionally, we give criteria for
determining when an element of Aut(Q(Lambda)) belongs to this subgroup in terms
of the exponent matrix for Lambda.

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