Quasirationality and prounipotent crossed modules

Abstract

Quasirational presentations ($QR$-presentations) of (pro-$p$)groups are studied. Such presentations include, in particular, aspherical presentations of discrete groups and their subpresentations and pro-$p$-groups with a single defining relation. Using schematization of $QR$-presentations we answer a variation of J.-P. Serre's question on one-relator pro-$p$-groups.

Text structure has been reorganized. Material on Melnikov's conjecture was singled out into a different article. Now in English, still a preliminary version any comments are wellcome

References in corpus (3)

• Proalgebraic crossed modules of quasirational presentations
• Quasirational relation modules and p-adic Malcev completions
• Identity theorem for pro-$p$-groups

Cited by in corpus (1)

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