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 th
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}