New examples of determinant divisibility sequences

Published 7 Mar 2015 in math.NT | (1503.02215v1)

Abstract: In this paper we consider divisibility sequences obtained from square matrices. We work with of matrix divisibility sequences associated to a semigroup and arising from endomorphisms of an affine space. We prove that determinant divisibility sequences originated from powers of square matrices are generalized Lucas sequences.

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Krzysztof Górnisiewicz

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