Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Abstract
In his book [2], Fuchs introduces the notion of a subgroup X of a Specker group P being a product and goes on to establish a Lemma [2, Lemma 95.1] which yields a useful characterization of the quotient and enables an easy derivation of Nunke’s characterization of epimorphic images of the Specker group [4]. Unfortunately this Lemma is incorrect as we show in section 1. In section 2 by suitably strengthening the hypothesis we regain a characterization of the quotient. Throughout, all groups are additively written Abelian groups and our notation follows the standard works of Fuchs [1], [2].
DOI
https://doi.org/10.21427/sc9c-gw58
Recommended Citation
Goldsmith, B. (1981). A note on products of infinite cyclic groups. Rendiconti del Seminario Matematico della Università di Padova/The Mathematical Journal of the University of Padua, vol. 64, pg. 243-246. doi:10.21427/sc9c-gw58
Publication Details
Rendiconti del Seminario Matematico della Università di Padova/The Mathematical Journal of the University of Padua, 64, (1981), pp.243-246. http://rendiconti.math.unipd.it/volumes.php?lan=english