Abstract
Let G be a p-group.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Reference
Fuchs, L. (1958). Abelian Groups, (Publishing House of the Hungarian Academy of Sciences: Budapest).
Fuchs, L. (1970,1973). Infinite Abelian Groups, Pure and Applied Mathematics, Vol. 36 (Academic Press: New York, London), vol. 1,2.
Fuchs, L. (1980). Abelian p-Groups and Mixed Groups, Sminaire de Mathmatiques Suprieures [Seminar on Higher Mathematics], 70. (Presses de l’Université de Montréal: Montréal).
Griffith, P. (1970). Infinite Abelian Group Theory, (The University of Chicago Press: Chicago, Ill., London).
Kaplansky, I. (1954). Infinite Abelian Groups, (University of Michigan Press: Ann Arbor).
Sake, L. (1980). Structure of Abelian p-groups. (Struttura dei p-gruppi abeliani), Quaderni dell’Unione Matematica Italiana, vol. 18, (Pitagora Editrice: Bologna), (in Italian).
Weinstein, M. (1977). Examples of Groups, (Polygonal Publishing House: Passaic, N.J.).
Faticoni, Th.G. (1991). A new proof of the Baer-Kaplansky theorem, Comm. Algebra 19, no. 11, pp.3119–123.
Hausen, J., Praeger, C., Schultz, P. (1994). Most abelian p-groups are determinated by the Jacobson radical of their endomorphism rings, Math. Z., 216, no. 3, pp.431–436.
Hausen, J. (1979). Radicals in endomorphism rings of primary abelian groups, Symposia Mathematica, XXIII, (Conf. Abelian Groups and their Relationship to the Theory of Modules, INDAM, Rome, 1977), (Academic Press: London, New York), pp.63–66.
Hausen, J., Johnson, J. (1978). Ideals and radicals in some endomorphism rings, Pacific J. Math., 74, no. 2, pp.365–372.
Honda, K. (1956). Realism in the theory of abelian groups I, Comment. Math. Univ. St. Paul., 5, pp.37–75.
Irwin, J. (1961). High subgroups of Abelian torsion groups, Pacific J. Math., 11, pp.1375–1384.
Irwin, J.M., Khabaz, S.A. (1964). On generating subgroup of abelian groups, in Proc. Colloq. Abetian Groups, Tihany, 1963, (Akadémiai Kiadö: Budapest), pp.87–97.
Pierce, R.S. (1963). Homomorphisms of primary abelian groups, in Topics in Abelian Groups, Proc. Sympos., New Mexico State Univ., 1962, (Scott, Foresman and Co.: Chicago, Ill.) pp.215–310.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Călugăreanu, G., Breaz, S., Modoi, C., Pelea, C., Vălcan, D. (2003). p-groups. In: Exercises in Abelian Group Theory. Springer Texts in the Mathematical Sciences, vol 25. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0339-0_7
Download citation
DOI: https://doi.org/10.1007/978-94-017-0339-0_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6249-9
Online ISBN: 978-94-017-0339-0
eBook Packages: Springer Book Archive