Asphericity and small cancellation theory for rotation families of groups

Abstract

Abstract. Using small cancellation for rotation families of groups, we construct new examples of aspherical polyhedra.

Geometric small cancellation

“…See also Farb's and GrovesManning's constructions [Far98,GM08]. We follow [Cou11], with minor modifications and simplifications.…”

Elements Generating a Proper Normal Subgroup of the Cremona Group

“…For that, we dig a hole in the cones, and this is explained in Section 6.2.3. For more details on this cone-off constructions, see [12,Sections 5.3 and 7.1] or [11,Section 3]. 6.2.1.…”

A non-residually finite group acting uniformly properly on a hyperbolic space

“…We now explain how P 0 behaves under small cancellation. To that end we first review the geometric theory of small cancellation as it has been introduced by M. Gromov [13] and further developed in [10,6,9]. For a detailed exposition we refer the reader to [7,.…”