33 citations · 343 across the 69 of their papers we have counts for
6 papers · 1 filter
The generating hypothesis for the stable module category of a -group
David J. Benson, Sunil K. Chebolu, J. Daniel Christensen +1
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…
Detecting pro-p-groups that are not absolute Galois groups, expanded version
Dave Benson, Nicole Lemire, Jan Minac +1
We present several constraints on the absolute Galois groups G_F of fields F containing a primitive pth root of unity, using restrictions on the cohomology of index p normal subgro…
Groups which do not admit ghosts
Sunil K. Chebolu, J. Daniel Christensen, Jan Minac
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 who…
Ghosts in modular representation theory
Sunil K. Chebolu, J. Daniel Christensen, Jan Minac
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 sta…
Automatic realizations of Galois groups with cyclic quotient of order p^n
Jan Minac, Andrew Schultz, John Swallow
We establish automatic realizations of Galois groups among groups M\rtimes G, where G is a cyclic group of order p^n for a prime p and M is a quotient of the group ring Fp[G].
Hilbert 90 for Galois cohomology
Nicole Lemire, Jan Minac, Andrew Schultz +1
Assuming the Bloch-Kato Conjecture, we determine precise conditions under which Hilbert 90 is valid for Milnor k-theory and Galois cohomology. In particular, Hilbert 90 holds for d…