Title of article :
The generating hypothesis for the stable module category of a p-group
Author/Authors :
David J. Benson، نويسنده , , Sunil K. Chebolu، نويسنده , , J. Daniel Christensen، نويسنده , , J?n Min??، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2007
Abstract :
Freydʹs generating hypothesis, interpreted in the stable module category of a finite p-group G, is the statement that a map between finite-dimensional kG-modules factors through a projective if the induced map on Tate cohomology is trivial. We show that Freydʹs generating hypothesis holds for a non-trivial finite p-group G if and only if G is either C2 or C3. We also give various conditions which are equivalent to the generating hypothesis.
Keywords :
Generating hypothesis , ghost map , stable module category
Journal title :
Journal of Algebra
Journal title :
Journal of Algebra