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# Cyclic Groups in TIFR Entrance

Cyclic groups are simple examples of groups generated by one element. But there can be more than one generator. Try this problem from TIFR Entrance with video.

## 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?

## By Ashani Dasgupta

Ph.D. in Mathematics from University of Wisconsin Milwaukee (USA)
Founder - Faculty at Cheenta