8 citations · 40 across the 14 of their papers we have counts for
6 papers · 1 filter
Cohomology of profinite groups of bounded rank
Peter Symonds
We generalise to profinite groups some of our previous results on the cohomology of pro-p groups of bounded sectional p-rank.
The stable category and invertible modules for infinite groups
Nadia Mazza, Peter Symonds
We construct a well-behaved stable category of modules for a large class of infinite groups. We then consider its Picard group, which is the group of invertible (or endotrivial) mo…
The non-projective part of the tensor powers of a module
Dave Benson, Peter Symonds
Let be a finite dimensional modular representation of a finite group . We consider the generating function for the non-projective part of the tensor powers of , and we wr…
Rank, coclass and cohomology
Peter Symonds
We prove that for any prime the finite -groups of fixed coclass have only finitely many different mod- cohomology rings between them. This was conjectured by Carlson; we…
An element of order 4 in the Nottingham group at the prime 2
Ted Chinburg, Peter Symonds
For k a field of characteristic 2, we show that there is a unique continuous automorphism of order 4 of the power series ring k[[t]] which sends t to t + t^2 + (t^6) + (t^{12} + t^…
Comparison of the Discrete and Continuous Cohomology Groups of a Pro- Group
Gustavo A. Fernandez-Alcober, Ilya V. Kazachkov, Vladimir N. Remeslennikov +1
We address the following question. For which finitely generated pro- groups the comparison map $ϕ^2:H_{cont}^{2}(P,\F_p) \to H_{disc}{2}(P,\F_p)$ is an isomorphism? We prove tha…