Complete group rings as Hecke algebras

Rational and $p$-adic analogs of J.H.C. Whitehead's conjecture

“…Besides homotopy theory importance prounipotent groups are especially cute since they have presentations theory perfectly similar to the discrete case, modules over such affine group schemes are simple enough to get deep results of cohomological nature. We refer the reader to [29], [30], [31] for pioneering papers on prounipotent groups presentations to classical results on presentations of pro-pgroups [49], [27], [44], [40], recent result of the author scattered across the articles [34], [36], [33], [35].…”