Groups are mathematical games being played with letters. In the simplest version, we use just one letter (say a), and are allowed to add it to or to remove it from a word. This is the free group of one generator, or the infinite cyclic group.

Direct Products of Finite Cyclic Groups Video How to determine if a direct product of finite cyclic groups is itself cyclic. This video has very easy exam.

Cyclic groups are the building blocks of abelian groups. There are finite and infinite cyclic groups. In this video we will define cyclic groups, give a list.