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References
J. F. Adams, Localisation and Completion, Lecture Notes University of Chicago (1975).
G. Baumslag, Wreath products and p-groups, Math. Proc. Cambridge Philos. Soc.55 (1959), 224–231.
G. Baumslag, E. Dyer and A. Heller, The topology of discrete groups, J. Pure Appl. Algebra16 (1980), 1–47.
A. J. Berrick, Two functors from abelian groups to perfect groups, J. Pure Appl. Algebra44 (1987), 35–43.
A. J. Berrick, Universal groups, binate groups and acyclicity, in: Group Theory, Proceedings of the 1987 Singapore Conference, Walter de Gruyter, Berlin-New York, 1989, 253–266.
A. J. Berrick, Torsion generators for all abelian groups, J. Algebra, to appear.
A. J. Berrick and C. F. Miller III, Strongly torsion generated groups, preprint (1990).
A. K. Bousfield, The localization of spaces with respect to homology, Topology14 (1975), 133–150.
C. Casacuberta and P. Hilton, On the extended genus of finitely generated abelian groups, Bull. Soc. Math. Belg. Sér. A41 (1989), 51–72.
C. Casacuberta and P. Hilton, A note on extensions of nilpotent groups, preprint (1990).
C. Casacuberta and G. Pesciike, Localizing with respect to self maps of the circle, preprint (1990).
C. Casacuberta, G. Peschke and M. Pfenniger, Sur la localisation dans les catégories avec une application à la théorie de l'homotopie, C. R. Acad. Sci. Paris Sér. I Math.310 (1990), 207–210.
C. Casacuberta, G. Peschke and M. Pfenniger, On orthogonal pairs in categories and localization, preprint (1990).
P. Hall, Some constructions for locally finite groups, J. London Math. Soc.34 (1959), 305–319.
P. Hilton, On the extended genus, Acta Math. Sinica (N. S.)4 (1988), no. 4, 372–382.
P. Hilton, G. Mislin and J. Roitberg, Localization of Nilpotent Groups and Spaces, North-Holland Math. Studies 15 (1975).
R. C. Lynodon and P. E. Schupp, Combinatorial Group Theory, Ergeb. Math. Grenzgeb. 89, Springer-Verlag, 1977.
S. MacLane, Categories for the Working Mathematician, Graduate Texts in Math. 5, Springer-Verlag, 1975.
G. Mislin, Nilpotent groups with finite commutator subgroup, Lecture Notes in Math. 418, Springer-Verlag, 1974, 103–120.
P. Ribenboim, Torsion et localisation de groupes arbitraires, Lecture Notes in Math. 740, Springer-Verlag, 1978, 444–456.
P. Ribenboim, Equations in groups, with special emphasis on localization and torsion I, Atti Accad. Naz. Lincei Mem. Cl. Sci. Fis. Mat. Natur. Sez. Ia (8) 19 (1987), no. 2, 23–60.
P. Ribenboim, Equations in groups, with special emphasis on localization and torsion II, Portugal. Math.44 (1987), fasc. 4, 417–445.
D. J. S. Robinson, Finiteness Conditions and Generalized Soluble Groups, Part 2, Ergeb. Math. Grenzgeb. 63, Springer-Verlag, 1972.
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Berrick, A.J., Casacuberta, C. (1992). Groups and spaces with all localizations trivial. In: Aguadé, J., Castellet, M., Cohen, F.R. (eds) Algebraic Topology Homotopy and Group Cohomology. Lecture Notes in Mathematics, vol 1509. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087498
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DOI: https://doi.org/10.1007/BFb0087498
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