Following are some of the topics I intend to cover.

Presentation of a group, and Dehn's fundamental problems.

Universal properties of Free groups, and Coxeter groups.

Graphs associated to a Coxeter group.

Linearity of Coxeter groups.

Exchange property of Coxeter groups.

Nielsen's transformations.

Reidemeister-Schreier method for a presentation of subgroups.

Isomorphism problem in Coxeter groups.