Group algebras whose simple modules are injective
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- by Daniel R. Farkas and Robert L. Snider PDF
- Trans. Amer. Math. Soc. 194 (1974), 241-248 Request permission
Abstract:
Let F be either a field of char 0 with all roots of unity or a field of char $p > 0$. Let G be a countable group. Then all simple $F[G]$-modules are injective if and only if G is locally finite with no elements of order char F and G has an abelian subgroup of finite index.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 194 (1974), 241-248
- MSC: Primary 16A26
- DOI: https://doi.org/10.1090/S0002-9947-1974-0357475-5
- MathSciNet review: 0357475