Asphericity and small cancellation theory for rotation family of groups

TL;DR

This paper introduces a novel method combining small cancellation theory with rotation families of groups to construct new aspherical polyhedra, advancing understanding in geometric group theory.

Contribution

It develops a new approach that leverages small cancellation conditions for rotating families to produce aspherical polyhedra, which was not previously achieved.

Findings

New examples of aspherical polyhedra constructed

Method bridges small cancellation theory and rotation groups

Advances in geometric group theory understanding

Abstract

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