Group algebras whose simple modules are injective-Reference-Cited by-同舟云学术

Group algebras whose simple modules are injective

Published:1974 Issue:0 Volume:194 Page:241-248
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Farkas Daniel R.,Snider Robert L.

Abstract

Let F be either a field of char 0 with all roots of unity or a field of char p > 0 p > 0 . Let G be a countable group. Then all simple F [ G ] 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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1974-194-00/S0002-9947-1974-0357475-5/S0002-9947-1974-0357475-5.pdf

Reference7 articles.

1. On the representation of a group of order 𝑔 in the field of the 𝑔-th roots of unity;Brauer, Richard;Amer. J. Math.,1945

2. Primitive group rings;Formanek, Edward;Proc. Amer. Math. Soc.,1972

3. On rings whose simple modules are injective;Michler, G. O.;J. Algebra,1973

4. Pure and Applied Mathematics;Passman, Donald S.,1971

5. Group rings satisfying a polynomial identity. II;Passman, D. S.;Pacific J. Math.,1971

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