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...
for theorem : every cyclic is abelian group
refer: • Cylic group is an abel...
For defination of cyclic group and example to this theorem
Refer: • Cyclic group|with comp...
For prove of Fourth root of unity forms group with respect to multiplication
Refer: • Set of Fourth root of ...
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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thanku

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very good explanation

[@mathmade8734]

Very well defined...👏

[@kamalhatria4773]

Thankyou mam I'm from bhuna(fatehabad) haryana Govt. College Bhuna 🙏🙏🙏🙏🙏🙏🙏

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[@purpledreams9004]

Thank you sooo much ma'am ..... I watched a lot of videos over this theorem but I wasn't able to understand it .....you seriously cleared my all doubts. I have an exam tomorrow and your videos helped me .... thank you soon much ma'am

[@divitasharma]

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[@sonufazi8977]

Thanks alot mam🙏

[@parwezkhan1]

5:07 Jab humne n ko least positive integer bol diya hai tab a^r not equal to e (where 0

[@divitasharma]

Ap ek baar aur read kijiye . Pehle usme words me likha fr such that k baad same symbolic form me likha hai . Baki ap apne according ek hi way me likh sakte hai words ya fr symbolic par in general ese hi likhte hai definations ko

[@parwezkhan1]

@@divitasharma ma'am i am saying that if we write n is least positive integer then statement a^n=e is sufficient for order of a no need to write further and if we don't write n is not least then we must write a^n=e & a^r not equals e where 0

[@divitasharma]

I got ur point . And i agree with u. One can write either of two in words or in symbol. Its unnecessary to write both together. Thanku.

[@alaksarker8994]

Thank you mam😊

[@highereducationmathematics1143]

Good helpful for students

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