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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Group rings with simple augmentation ideals


Authors: K. Bonvallet, B. Hartley, D. S. Passman and M. K. Smith
Journal: Proc. Amer. Math. Soc. 56 (1976), 79-82
DOI: https://doi.org/10.1090/S0002-9939-1976-0399145-0
MathSciNet review: 0399145
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Abstract | References | Additional Information

Abstract: Group algebras of algebraically closed groups and of universal groups are shown to have simple augmentation ideals and to be primitive.


References [Enhancements On Off] (What's this?)

  • [1] O. H. Kegel and B. A. F. Wehrfritz, Locally finite groups, North-Holland, Amsterdam, 1973. MR 0470081 (57:9848)
  • [2] B. H. Neumann, A note on algebraically closed groups, J. London Math. Soc. 27 (1952), 247-249. MR 13, 721. MR 0046363 (13:721f)
  • [3] W. R. Scott, Algebraically closed groups, Proc. Amer. Math. Soc. 2 (1951), 118-121. MR 12, 671. MR 0040299 (12:671f)


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0399145-0
Keywords: Group ring, augmentation ideal, primitive ring, algebraically closed group, universal group, wreath product
Article copyright: © Copyright 1976 American Mathematical Society

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