Record link: 
http://hdl.handle.net/20.500.12708/29832
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Title: 
On the abelianization of certain topologist's products
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Citation: 
Herfort, W., & Hojka, W. (2017). On the abelianization of certain topologist’s products. In M. Drosde, L. Fuchs, B. Goldsmith, & L. Strüngmann (Eds.), Groups, Modules, and Model Theory - Surveys and Recent Developments, In Memory of Rüdiger Göbel (pp. 351–358). Springer International Publishing. https://doi.org/10.1007/978-3-319-51718-6_19
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Publisher DOI: 
10.1007/978-3-319-51718-6_19
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Publication Type: 
Book Contribution - Edited Volume Contribution
en
Authors: 
Herfort, Wolfgang 
Hojka, Wolfram 
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Organisational Unit: 
E101-01 - Forschungsbereich Analysis 
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Published in: 
Groups, Modules, and Model Theory - Surveys and Recent Developments, In Memory of Rüdiger Göbel 
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ISBN: 
978-3-319-51717-9
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DOI of the book: 
10.1007/978-3-319-51718-6
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Date (published): 
2017
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Number of Pages: 
8
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Publisher: 
Springer, Cham
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Keywords: 
Wild homology Shrinking wedge Topologist´s product Higman completeness Cotorsion Algebraically compact Specker group
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Abstract: 
For the topologist´s product ⊛𝑖𝐺𝑖 where each G_i is the group of p elements, a description of its abelianization is provided. It turns out that the latter is isomorphic to (⨁𝑖ℤ(𝑝))⊕𝑃/𝑆, where 𝑃=∏𝑖ℤ is the Specker group and 𝑆=⨁𝑖ℤ.
de
 
For the topologist´s product ⊛𝑖𝐺𝑖 where each G i is the group of p elements, a description of its abelianization is provided. It turns out that the latter is isomorphic to (⨁𝑖ℤ(𝑝))⊕𝑃/𝑆, where 𝑃=∏𝑖ℤ is the Specker group and 𝑆=⨁𝑖ℤ.
en
Science Branch: 
Mathematik
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Appears in Collections:
Book Contribution

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