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On the automorphism group of a reduced primary Abelian group. (English) Zbl 0253.20078


MSC:

20K30 Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups
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[1] Reinhold Baer, A unified theory of projective spaces and finite abelian groups, Trans. Amer. Math. Soc. 52 (1942), 283 – 343. · Zbl 0063.00165
[2] Reinhold Baer, Linear algebra and projective geometry, Academic Press Inc., New York, N. Y., 1952. · Zbl 0049.38103
[3] Jean Dieudonné, La géométrie des groupes classiques, Seconde édition, revue et corrigée, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1963 (French). · Zbl 0111.03102
[4] L. Fuchs, Abelian groups, International Series of Monographs on Pure and Applied Mathematics, Pergamon Press, New York-Oxford-London-Paris, 1960. · Zbl 0100.02803
[5] László Fuchs, Infinite abelian groups. Vol. I, Pure and Applied Mathematics, Vol. 36, Academic Press, New York-London, 1970. · Zbl 0209.05503
[6] Jutta Hausen, Automorphismengesättigte Klassen abzahlbarer abelschen Gruppen, Studies on Abelian Groups (Symposium, Montpellier, 1967) Springer, Berlin, 1968, pp. 147 – 181 (German).
[7] Toshiko Koyama and John Irwin, On topological methods in abelian groups, Studies on Abelian Groups (Symposium, Montpellier, 1967) Springer, Berlin, 1968, pp. 207 – 222.
[8] Horst Leptin, Abelsche \?-Gruppen und ihre Automorphismengruppen, Math. Z 73 (1960), 235 – 253 (German). · Zbl 0093.24802 · doi:10.1007/BF01159715
[9] R. S. Pierce, Homomorphisms of primary abelian groups, Topics in Abelian Groups (Proc. Sympos., New Mexico State Univ., 1962), Scott, Foresman and Co., Chicago, Ill., 1963, pp. 215 – 310.
[10] Elbert A. Walker, Cancellation in direct sums of groups, Proc. Amer. Math. Soc. 7 (1956), 898 – 902. · Zbl 0071.25203
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