References Page 1 References [1] S. Abhyankar, S. Wiegand, On the compositum of two power
series rings, Proc. Amer. Math. Soc. 112 (1991), 629 – 636. [2] U. Albrecht, Endomorphism …

We prove that every homotopical localization of the circle S 1 is an aspherical space whose
fundamental group A is abelian and admits a ring structure with unit such that the evaluation …

Cellular covers of divisible abelian groups Page 94 http://dx. doi. org/10.1090/conm/504/09876
Contemporary Mathematics Volume 504 , 2009 Cellular covers of divisible abelian groups …

We describe the action of idempotent transformations on finite groups. We show that
finiteness is preserved by such transformations and enumerate all possible values such …

In this paper we improve recent results dealing with cellular covers of $ R $-modules.
Cellular covers (sometimes called co-localizations) come up in the context of homotopical …

Recall the well-known notion of a cellular cover e: HG from algebraic topology (here for
groups and R-modules). The map e is a homomorphism such that any homomorphism: HG …

We describe the role of the Schur multiplier in the structure of the p–torsion of discrete
groups. More concretely, we show how the knowledge of H 2 G allows us to approximate …

We show that cellular approximations of nilpotent Postnikov stages are always nilpotent
Postnikov stages, in particular classifying spaces of nilpotent groups are turned into …

A group homomorphism e: H→ G is a cellular cover of G if for every homomorphism φ: H→ G
there is a unique homomorphism φ¯: H→ H such that φ¯⁢ e= φ. Group localizations are …

Abstract Let φ: Γ→ G be a homomorphism of groups. We consider factorizations Γ→ f M→ g
G of φ having certain universal properties. First we continue the investigation (see [4]) of the …