Israel Journal of Mathematics

, Volume 27, Issue 3–4, pp 331–338 | Cite as

Normal complements in modp-envelopes

  • L. E. Moran
  • R. N. Tench


SupposeG is a finitep-group andk is the field ofp elements, and letU be the augmentation ideal of the group algebrakG. We investigate whichp-groups,G, have normal complements in their modp-envelope,G*.G* is defined byG*={1−uuU}.


Binary Operation Group Algebra Wreath Product Dihedral Group General Linear Group 
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  1. 1.
    D. B. Coleman,On the modular group ring of a p-group, Proc. Amer. Math. Soc.15 (1964).Google Scholar
  2. 2.
    C. D. H. Cooper,Words which give rise to another group operation for a given group, Proc. Second Internat. Conf. Theory of Groups, Canberra, 1973 (Lecture Notes in Mathematics. Springer-Verlag, Berlin, Heidelberg, New York).Google Scholar

Copyright information

© Hebrew University 1977

Authors and Affiliations

  • L. E. Moran
    • 1
  • R. N. Tench
    • 1
  1. 1.Department of MathematicsUniversity ParkNottinghamEngland

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