Sunil K. Chebolu

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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 finite p-group G if and only if G is either C 2 or(More)
It is well known that the order statistics of a random sample from the uniform distribution on the interval [0, 1] have Beta distributions. In this paper we consider the order statistics of a random sample of n data points chosen from an arbitrary probability distribution on the interval [0, 1]. For integers k and with 1 ≤ k < ≤ n we find an attainable(More)
A ghost in the stable module category of a group G is a map between representations of G that is invisible to Tate cohomology. We show that the only non-trivial finite p-groups whose stable module categories have no non-trivial ghosts are the cyclic groups C 2 and C 3. We compare this to the situation in the derived category of a commutative ring. We also(More)
A ghost over a finite p-group G is a map between modular representations of G which is invisible in Tate cohomology. Motivated by the failure of the generating hypothesis—the statement that ghosts between finite-dimensional G-representations factor through a projective—we define the ghost number of kG to be the smallest integer l such that the composite of(More)
For prime power q = p d and a field F containing a root of unity of order q we show that the Galois cohomology ring H * (G F , Z/q) is determined by a quotient G [3] F of the absolute Galois group G F related to its descending q-central sequence. Conversely, we show that G [3] F is determined by the lower cohomology of G F. This is used to give new examples(More)
Let G be a finite group and let k be a field of characteristic p. Given a finitely generated indecomposable non-projective kG-module M , we conjecture that if the Tate cohomologyˆH * (G, M) of G with coefficients in M is finitely generated over the Tate cohomology ringˆH * (G, k), then the support variety V G (M) of M is equal to the entire maximal ideal(More)