References
J. C. Ault andJ. F. Watters, Circle groups of nilpotent rings. Amer. Math. Month,80, 48–52 (1973).
P. Bachmann andL. Grunenfelder, Homological methods and the third dimension sub-group. Comment. Math. Helv.47, 526–531 (1972).
L.Fuchs, Infinite Abelian groups I. New York-London 1970.
G. Losey, On the structure ofQ 2(G) for finitely generated groups. Canad. J. Math.,25, 353–359 (1973).
O. M. Neroslavskii, Nilpotent groups which are adjoint groups of rings (Russian). Vesci Akad. Navuk BSSR Ser Fiz Mat. Navuk, No.2, 122–124 (1971).
I. B. S. Passi andS. Sharma, The third dimension subgroup modn. J. London Math. Soc.,9, 176–182 (1974).
R. Sandling, Dimension subgroups over arbitrary coefficient rings. J. Algebra,21, 250–265 (1972).
R. B.Warfield, Jr., Nilpotent groups. LNM No.513, Berlin 1976.
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The authors are thankful to the Mathematics Institute, University of Warwick, for its hospitality during the period this work was done. The first author was supported in part by NSP Grant No. MCS77-00433.
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Hales, A.W., Passi, I.B.S. The second augmentation quotient of an integral group ring. Arch. Math 31, 259–265 (1978). https://doi.org/10.1007/BF01226446
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DOI: https://doi.org/10.1007/BF01226446