Timeline for When is the torsion subgroup of an abelian group a direct summand?

10 events

when toggle format	what		by	license	comment
Jul 24, 2022 at 11:51	comment	added	The Amplitwist		The link to `eom.springer.de` is broken, but the article can now be found at encyclopediaofmath.org/wiki/Cotorsion_group.
Jun 22, 2022 at 8:13	history	edited	CommunityBot		replaced http://math.uga.edu/~pete with http://alpha.math.uga.edu/~pete
Dec 24, 2016 at 15:09	history	edited	YCor	CC BY-SA 3.0	Clarified the characterization
Dec 12, 2016 at 16:56	history	edited	Pete L. Clark	CC BY-SA 3.0	deleted 4 characters in body
Apr 4, 2011 at 12:02	history	edited	Pete L. Clark	CC BY-SA 2.5	added 107 characters in body
Apr 4, 2011 at 11:52	history	edited	Pete L. Clark	CC BY-SA 2.5	added 1 characters in body
Apr 4, 2011 at 11:52	vote	accept	Pete L. Clark
Apr 4, 2011 at 11:51	comment	added	Pete L. Clark		Wait, never mind -- I guess the answer is obviously no: the group $\bigoplus_{p \in \mathcal{P}} \mathbb{Z}/p\mathbb{Z}$ (where $\mathcal{P}$ is the set of all prime numbers) is a counterexample.
Apr 4, 2011 at 11:46	comment	added	Pete L. Clark		@Gjergji: thanks, this is very helpful. Do you happen to know whether every "cofinite type" torsion group is a cotorsion group? (I guess I will learn the answer to this by reading the relevant parts of Fuchs' book...)
Apr 4, 2011 at 9:31	history	answered	Gjergji Zaimi	CC BY-SA 2.5