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Published online by Cambridge University Press: 26 February 2010
Let M be a finitely generated module over the finitely generated abelian group U. Denote the group of all semilinear maps of M by SautUM, a ℤ-automorphism g of M being semilinear if there exists an automorphism γ of U, called an auxiliary automorphism of g, such that mug = mguγ for all m ∊ M and u ∊ U.