Group rings whose units form a nilpotent or FC group
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- by M. M. Parmenter and C. Polcino Milies PDF
- Proc. Amer. Math. Soc. 68 (1978), 247-248 Request permission
References
- R. Keith Dennis, The structure of the unit group of group rings, Ring theory, II (Proc. Second Conf., Univ. Oklahoma, Norman, Okla., 1975) Lecture Notes in Pure and Appl. Math., Vol. 26, Dekker, New York, 1977, pp. 103–130. MR 0444697
- Graham. Higman, The units of group-rings, Proc. London Math. Soc. (2) 46 (1940), 231–248. MR 2137, DOI 10.1112/plms/s2-46.1.231
- Ian Hughes and Chou-hsiang Wei, Group rings with only trivial units of finite order, Canadian J. Math. 24 (1972), 1137–1138. MR 311751, DOI 10.4153/CJM-1972-120-1
- Gerald Losey, A remark on the units of finite order in the group ring of a finite group, Canad. Math. Bull. 17 (1974), 129–130. MR 352232, DOI 10.4153/CMB-1974-026-x
- César Polcino Milies, Integral group rings with nilpotent unit groups, Canadian J. Math. 28 (1976), no. 5, 954–960. MR 412260, DOI 10.4153/CJM-1976-092-4
- W. R. Scott, Group theory, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. MR 0167513
- S. K. Sehgal and H. J. Zassenhaus, Integral group rings with nilpotent unit groups, Comm. Algebra 5 (1977), no. 2, 101–111. MR 447321, DOI 10.1080/00927877708822161 —, Group rings whose units form an FC group (to appear).
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 68 (1978), 247-248
- MSC: Primary 20C05; Secondary 16A26
- DOI: https://doi.org/10.1090/S0002-9939-1978-0498817-9
- MathSciNet review: 0498817