Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
S. Chase, On group extensions and a problem of Whitehead, Topics in Abelian Groups (1962) 173–193.
J. Dixmier, Quelques proprietes des groupes abelians localement compacts, Bull. Sci. Math. (2) 81(1957) 3–48.
A Ehrenfeucht, On a problem of Whitehead concerning abelian groups, Bull. Acad. Polon. Sci. III 3 (1955) 127–128.
P. Eklov, Whitehead’s problem is undecideable, Amer. Math. Monthly 83 (1976) 775–788.
P. Griffith, Separability of torsion-free groups and a problem of J.H.C. Whitehead, Ill. Journ. Math. 12(1968) 654–657-659.
R. Nunke, Slender groups, Acta Szeged, 23(1962) 67–73.
R. Nunke and J. Rotman, Singular cohomology groups, Journ. London Math. Soc. 37(1962) 301–306.
J. Rotman, On a problem of Baer and a problem of Whitehead in abelian groups, Acta. Math. Sci. Hung. 12(1961) 245–254.
S. Shelah, Infinite abelian groups-Whitehead problem and some constructions, Is. Journ. Math. 18(1974) 243–256.
_____, A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals, Is. Jour. Math. 21(1975) 319–349.
K. Stein, Analytische Functionen mehrer komplexer Veranderlichen zu vorgegebenen Periodizitätsmoduln und das zweite Cousinsche Problem, Math. Ann. 123(1951) 201–222.
Editor information
Rights and permissions
Copyright information
© 1977 Springer-Verlag
About this paper
Cite this paper
Nunke, R.J. (1977). Whitehead’s problem. In: Arnold, D.M., Hunter, R.H., Walker, E.A. (eds) Abelian Group Theory. Lecture Notes in Mathematics, vol 616. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068200
Download citation
DOI: https://doi.org/10.1007/BFb0068200
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08447-1
Online ISBN: 978-3-540-37069-7
eBook Packages: Springer Book Archive