A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf
.
Group algebras whose simple modules are injective
1974
Transactions of the American Mathematical Society
Let F be either a field of char 0 with all roots of unity or a field of char/i > 0. Let G be a countable group. Then all simple /{Gj-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. The condition that all simple modules over a ring be injective first appeared in a theorem due to Kaplansky: a commutative ring satisfies the condition if and only if it is von Neumann regular. Several people have studied the
doi:10.1090/s0002-9947-1974-0357475-5
fatcat:fdkb2dpw4jcqlnr2hiipe54moe