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
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.
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.
