Literature cited
D. J. S. Robinson, “The vanishing of certain homology and cohomology groups,” J. Pure Appl. Algebra,7, 145–167 (1976).
D. I. Zaitsev, “On the splitting of extensions of Abelian groups,” in: Studies on Groups with Subgroups Having Given Properties [in Russian], Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1981), pp. 14–25.
D. I. Zaitsev, “On extensions of Abelian groups,” in: Constructive Description of Groups with Subgroups Having Given Properties [in Russian], Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1980), pp. 16–40.
B. Hartley and M. J. Tomkinson, “Splitting over nilpotent and hypercentral residuals,” Math. Proc. Cambridge Phil. Soc.,78, 215–226 (1975).
D. I. Zaitsev, “Hypercyclic extension of Abelian groups,” in: Groups Defined by the Properties of a System of Subgroups [in Russian], Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1979), pp. 16–37.
P. Hall, “On the finiteness of certain soluble groups,” Proc. London Math. Soc.,9, No. 36, 595–622 (1959).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 40, No. 5, pp. 632–635, September–October, 1988.
Rights and permissions
About this article
Cite this article
Zaitsev, D.I., Maznichenko, V.A. Hypercentral extensions of Abelian groups. Ukr Math J 40, 539–541 (1988). https://doi.org/10.1007/BF01057535
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01057535