Central quotient groups
Tóm tắt
A complete description of all abelian groups which cannot be central quotient groups of a group is given herein.
Tài liệu tham khảo
R. Baer, “Groups with abelian central quotient groups,” Trans. Amer. Math. Soc.,44, No. 3, 357–386 (1938).
R. Baer, “Groups with preassigned central and central quotient group,” Trans. Amer. Math. Soc.,44, No. 3, 387–412 (1938).
A. I. Moskalenko, “On central extensions of an abelian group by using an abelian group,” Sibirsk. Matem. Zh.,9, No. 1, 104–115 (1968).
P. Conrad, “Skew tensor products and groups of class two,” Nagoya Math. J.,23, 15–51 (1963).
L. Fuchs, “Abelian groups,” Acad. Kiado, Budapest (1966).
S. MacLane, Homology [Russian translation], Moscow (1966).