Question

Give axamples of finite and cyclic groups

Answer 1

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CYCLIC GROUP
A common example would be the integers modulo , Z . This a cyclic group under addition with a possible generator , and has prime order . A cyclic group has one or more than one generators. For example: Z = {1,-1,i,-i} is a cyclic group of order 

FINITE GROUP
The trivial group is an example of a finite group -- the underlying set has cardinality one. Other examples of finite groups include the symmetric group on a set, and the cyclic group of order . Any subgroup of a finite group is finite.

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