Order of a cyclic group is same as the order of its generator|proof|grouptheory lect16|NET|JAM|B.Sc|

topic cover
theorem: order of cyclic group is same as the order of its generator.

in next class we will cover
theorem: every group of order 3 is cyclic

for theorem: if 'a' is a generator of group G then its inverse is also a genrated of groupG
refer:    • If a is a generator of cyclic group t...  

for theorem : every cyclic is abelian group
refer:    • Cylic group is an abelian group|proof...  

For defination of cyclic group and example to this theorem
Refer:    • Cyclic group|with complete explainati...  

For prove of Fourth root of unity forms group with respect to multiplication
Refer:    • Set of Fourth root of unity forms an ...  

Group theory is very important part of pure mathematics.
It will ask you almost every exam such as CSIR NET, JAM, GATE MA, NBHM, M.Sc. Entrance, PhD entrance, M.Sc. , B.Sc, BCA, and many more

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