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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Relative projectivity, the radical and complete reducibility in modular group algebras
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by D. C. Khatri PDF
Trans. Amer. Math. Soc. 186 (1973), 51-63 Request permission

Abstract:

If $H \leq G$ and every G-module is H-projective then (G, H) is a projective pairing. If Rad $FG \subseteq ({\text {Rad}}\;FH)FG$ then (G, H) is said to have property p. A third property considered is that for each irreducible H-module the induced G-module be completely reducible. It is shown that these three are equivalent properties in many interesting cases. Also examples are given to show that they are, in general, independent of each other.
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 186 (1973), 51-63
  • MSC: Primary 20C05
  • DOI: https://doi.org/10.1090/S0002-9947-1973-0327880-0
  • MathSciNet review: 0327880