Cohomology of profinite groups of bounded rank

Abstract

We generalise to profinite groups some of our previous results on the cohomology of pro‐p groups of bounded sectional p‐rank.

On the cohomology of pro-fusion systems

“…Remark 4.6. The conclusion of Theorem 4.5 using the assumption that F is prosaturated was suggested by Peter Symonds [25].…”

On the cohomology of pro-fusion systems

“…The above theorem also holds under the alternative hypotheses that either F or F o is finitely generated but not necessarily pro-saturated. The version stated in Theorem 4.5 was communicated to us by Peter Symonds [25].…”