# Cyclic Groups in TIFR Entrance

## Concept - Cyclic Groups

Let's discuss the concept of Cyclic Groups.

A cyclic group G is a group that can be generated by a single element. In particular, if $G = \{ a, b, c, d, .. \}$, $*$ is the group operation and $a$ is a generating element, then if we compute $a$ , $a*a$, , $a*a*a$, etc. we will be able to create all members of the set G.

## Get motivated - Problem from TIFR Entrance

Suppose G is a cyclic group with 60 elements. How many generators are there?

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