Complex sentence: In mathematics, more specifically algebraic topology, the fundamental group or Poincaré group is a group associated to any given pointed topological space and is the first and simplest of the homotopy groups.
Split into simpler sentences: In mathematics, more specifically algebraic topology, the fundamental group or Poincaré group is a group associated to any given pointed topological space. It is the first and simplest of the homotopy groups.