FREYD’S GENERATING HYPOTHESIS FOR THE STABLE MODULE CATEGORY OF A p-GROUP
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چکیده
Freyd’s 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 Freyd’s generating hypothesis holds for a non-trivial p-group G if and only if G is either Z/2 or Z/3. We also give various conditions which are equivalent to the generating hypothesis.
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تاریخ انتشار 2006