### A brief introduction to Geometric Group Theory

Pure Mathematics Postgraduate Seminar

10th November 2017, 4:30 pm – 5:40 pm

Howard House, 4th Floor Seminar Room

Groups are classically considered algebraic objects, and for finite groups one can certainly say a lot with algebra, however, when we venture into the vast jungle of infinite groups we find our algebraic intuition betrays us. I’ll recall a standard algebraic way of thinking about groups, explain one particular window into the geometric approach, and conclude with some examples of when this approach provides us with powerful results.

Key words: Cayley graphs, quasi-isometry, growth, hyperbolicity.

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