SOME APPLICATIONS OF ALGEBRAIC TOPOLOGICAL METHODS TO GROUP THEORY

In this paper talk, using properties of fundamental groups and coverning spaces of connected polyhedra, we present topological proof for some famous theorems in group theory such as Nielsen-Schreier theorem, Kurosh subgroup theorems, and Reidemeister-Schreier theorem.

Keywords:

fundamental groups , Eilenberg-Maclane space , Convering space Finitely presented group