Topologie, th\'eorie des groupes et probl\`emes de d\'ecision. C\'el\'ebration d'un article de Max Dehn de 1910

TL;DR

This paper celebrates Max Dehn's pioneering work from 1910 on topology, group theory, and decision problems, highlighting his foundational results and their influence on modern mathematical research.

Contribution

It provides a historical and mathematical analysis of Dehn's early 20th-century results and their impact on current problems in topology and group theory.

Findings

Historical overview of Dehn's results

Analysis of decision problems in group theory

Discussion of Dehn's influence on modern topology

Abstract

This paper, in French, is a celebration of Max Dehn, and an essay of describing some of his results published in the beginning of the 1910's, and their offspring. It has been written up for a winter school in Les Diablerets, March 7-12, 2010: Geometry, topology and computation in groups, 100 years since Dehn's Decision Problems.