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## 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?

## Watch Part 1

## Other useful links:-

- https://www.cheenta.com/complex-number-isi-entrance-b-stat-hons-2003-problem-5/
- https://www.youtube.com/watch?v=P4ZYA4XCQoM&list=PLTDTcDkWcXuxeaAMvWpx4vGIul38dKOQp&index=4

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