One type of these objects consists of all finite words built from a set; that is the free variety. They are partitioned by their orbits under an action, and these mathematical structures can be represented by Cayley graphs or
One type of these objects consists of all finite words built from a set; that is the free variety. They are partitioned by their orbits under an action, and these mathematical structures can be represented by Cayley graphs or Cayley ta- bles. The types of these objects that represent the symmetries of a regular polygon are known as dihedral ones, and those that can be generated by products of a single element are called cyclic. If they are commutative, they are known as abelian. Name these mathematical structures that consist of a set closed under a binary operation that is associative and possesses inverses and an identity.
One type of these objects consists of all finite words built from a set; that is the free variety.
{groups}