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Contributions to Books:

W. Herfort, W. Hojka:
"On the abelianization of certain topologist's products.";
in: "Groups, Modules, and Model Theory - Surveys and Recent Developments, In Memory of Rüdiger Göbel", M. Drosde, L. Fuchs, B. Goldsmith, L. Strüngmann (ed.); Springer International Publishing, 2017, (invited), ISBN: 978-3-319-51718-6, 351 - 358.



English abstract:
For the topologistīs 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.

German abstract:
For the topologistīs 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.

Keywords:
Wild homology Shrinking wedge Topologistīs product Higman completeness Cotorsion Algebraically compact Specker group


"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/978-3-319-51718-6


Created from the Publication Database of the Vienna University of Technology.