Factorizations of groups of automorphisms of a finitely generated module over a commutative ring (Q5903817)

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scientific article; zbMATH DE number 4079741
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Factorizations of groups of automorphisms of a finitely generated module over a commutative ring
scientific article; zbMATH DE number 4079741

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    Factorizations of groups of automorphisms of a finitely generated module over a commutative ring (English)
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    1987
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    Let \({\mathfrak X}\) be the class of groups of automorphisms of a finitely generated unital module over a commutative associative ring with unity. The author states three theorems concerning X-groups which are the product of pairwise permuting subgroups with various properties. For example, if \(G=AB\) with A and B locally nilpotent then G is hyperabelian.
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    factorizations of groups
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    groups of automorphisms
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    finitely generated unital module
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    X-groups
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