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Integral group rings with residually nilpotent unit groups

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References

  1. M.Hall, The Theory of Groups. New York 1959.

  2. S.Lang, Algebraic Number Theory. 1970.

  3. A. I. Lichtman, The residual nilpotence of the augmentation ideal and the residual nilpotence of some classes of groups. Israel J. Math.26, 276–293 (1977).

    Google Scholar 

  4. M. Parmenter, I. B. S. Passi andS. K. Sehgal, Polynomial Ideals in Group Rings. Can. J. Math. Vol. XXV, 1174–1182 (1973).

    Google Scholar 

  5. I. B. S.Passi, Group Rings and Their Augmentation Ideals. LNM715. Berlin-Heidelberg-New York 1979.

  6. K. Ramachandra, On the Units of Cyclotomic fields. Acta ArithmeticaXII, 165–173 (1966).

    Google Scholar 

  7. D. J. S.Robinson, Finiteness Conditions and Generalized Soluble Groups, Parts I and II. Berlin-Heidelberg-New York 1973.

  8. S. K.Sehgal, Topics in Group Rings. New York and Basel 1978.

  9. S. K. Sehgal andH. J. Zassenhaus, Integral group rings with nilpotent unit groups. Comm. Algebra5, 101–111 (1977).

    Google Scholar 

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Musson, I., Weiss, A. Integral group rings with residually nilpotent unit groups. Arch. Math 38, 514–530 (1982). https://doi.org/10.1007/BF01304826

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  • DOI: https://doi.org/10.1007/BF01304826

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