The indecomposability of certain wreath products indexed by partially ordered sets (Q788832)
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scientific article; zbMATH DE number 3843997
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The indecomposability of certain wreath products indexed by partially ordered sets |
scientific article; zbMATH DE number 3843997 |
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The indecomposability of certain wreath products indexed by partially ordered sets (English)
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1984
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In this paper the authors continue their work on wreath products of groups indexed by partially ordered sets. The paper is concerned with the question of when such a wreath product decomposes as a direct product of two non-trivial groups. The authors give necessary and sufficient conditions for a wreath product to decompose, therefore generalizing a result of \textit{P. M. Neumann} [Math. Z. 84, 343-373 (1964; Zbl 0122.029)]. Several examples are given to illustrate the main theorem.
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decomposability of wreath products
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wreath products of groups indexed by partially ordered sets
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direct product
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