Automorphisms of the little disks operad with torsion coefficients

Abstract

We compute the automorphisms of the Bousfield-Kan completion at a prime p of the little two-disks operads and show that they are given by the pro-p Grothendieck-Teichmüller group. We also show that the Grothendieck-Teichmüller group acts faithfully on the p-complete stable little disks operad.

22 pages

References in corpus (2)

• Rigidification of algebras over multi-sorted theories
• Deformation theory of bialgebras, higher Hochschild cohomology and formality