Discrete Groups of Motions

Structural Properties of Inner Amenable Discrete Groups

structural properties of inner amenable discrete groups

The kinematic Motion Primitives (kMPs) of periodic motions, discrete motions, and motions that are a combination of discrete and periodic movements

The research presented in this manuscript aimed to: i) analyze human motion, introducing the kinematic Motion Primitives (kMPs), ii) propose an application of the kMPs to synthesize human-like walking trajectories for the COmpliant huMANoid COMAN. A Principal Component Analysis (PCA) was applied to the whole-body joint trajectories, that were derived from human data recorded with a motion captu...

Discrete U-duality Groups

Generators for the discrete U-duality groups of toroidally compactified M-theory in d ≥ 4 are presented and used to determine the d = 3 U-duality group. This contribution summarizes the results of [1].

Profinite Properties of Discrete Groups

This paper is based on a series of 4 lectures delivered at Groups St Andrews 2013. The main theme of the lectures was distinguishing finitely generated residually finite groups by their finite quotients. The purpose of this paper is to expand and develop the lectures. The paper is organized as follows. In §2 we collect some questions that motivated the lectures and this article, and in §3 discu...