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Group rings of hyperabelian groups

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Abstract

Ifk is a field of characteristicp>0 then we find all hyper-(Abelian or locally finite-p′) groupsG such that the augmentation ideal of the group algebrakG has the AR property.

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References

  1. D. S. Passman,The Algebraic Structure of Group Rings, Wiley-Interscience, New York, 1977.

    MATH  Google Scholar 

  2. D. J. S. Robinson,Finiteness Conditions and Generalized Soluble Groups, Vol. I, Springer-Verlag, Berlin, 1972.

    Google Scholar 

  3. P. F. Smith,The ARproperty and chain conditions in group rings, Israel J. Math32 (1979), 131–144.

    Article  MATH  MathSciNet  Google Scholar 

  4. P. F. Smith,More on the ARproperty and chain conditions in group rings, Israel J. Math.35 (1980), 186–204.

    Article  MATH  MathSciNet  Google Scholar 

  5. R. L. Snider,The zero divisor conjecture for some solvable groups, Pacific J. Math. (to appear).

  6. B. A. F. Wehrfritz,Infinite Linear Groups, Springer-Verlag, Berlin, 1973.

    MATH  Google Scholar 

  7. B. A. F. Wehrfritz,On the holomorphs of soluble groups of finite rank, J. Pure Appl. Algebra4 (1979), 55–69.

    Article  MathSciNet  Google Scholar 

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The second author is partially supported by NSF grant MCS-7828082.

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Smith, P.F., Snider, R.L. Group rings of hyperabelian groups. Israel J. Math. 38, 23–28 (1981). https://doi.org/10.1007/BF02761844

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  • DOI: https://doi.org/10.1007/BF02761844

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