Cyclic group in group theory | Example and theorem | Discrete Mathematics | Discrete Structure

#cyclicgroup #cyclic #discretemathematics #discretestructure #sandeepkumargour
Chapters:-
0:00 Start
0:19 Example-1 [ The multiplicative group G={1,-1,i,-i} is cyclic. ]*
7:56 Definition
9:54 Example-2 [The multiplicative group {1,w,w2} is cyclic group.]
12:36 Example-3 [The group (G, + modulo 6) is a cyclic group where G={0,1,2,3,4,5}]
16:24 Example-4 [Find all the generators of the cyclic group (G={1,2,3,4}, multiplication modulo 5)]
20:27 Theorem-1 [Every cyclic group is an abelian group]
23:28 Theorem-2 [If a is generator of a cyclic group G, then inverse of a is also a generator of G]
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Discrete Structure | Discrete Mathematics in Hindi
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[@manasgupta6647]

pta nhi college ke profile phd karne ke baad bhi ese kyu nhi padha paate....... Hats off to u sir.... Best explaination ever🎉🎉🎉

[@dinogamer1886]

Sir, reminder vala samaj ma ni aya

[@kalyanijaiswal4937]

A very nice video made by you... This vdo helped ne to understand difficult concept in a very easy way ..... thankyou so much .

[@gamerznetic]

wonderful thanks for great explanation sir

[@hustlinhr]

Your way of explaining is ❤

[@mahakgour459]

Nice video sir jii👏👏👏👏👏👏

[@karnadas3363]

Thank you so much sir

[@heartbroken8976]

Sir aapka pdaya hua ekdum ache se smjh aaya helpful video 😊

[@yadavpratima850]

2-3 hours ki Kitni saree video dekhne ke bad ab jakr samajh me Aaya🙏🙏🙏

[@mahirrohatgi9473]

best teacher

[@SandeepKumarGour]

Thank you

[@iambeelluu4859]

4/5. Reminder 4 kaise milega bhai

[@chaudhary5008]

Goo on we will support you sir 🖤🖤🖤🖤🖤🖤🖤🖤🖤

[@filmyworld8129]

O(-i) and O (-1) mai confusion hai sir -1^2=1 but -i^4 = -1 how negative even ke power se + kyun nahi hua sir

[@NarutoUzumaki-bx5tr]

bhai yeh remainder wala kya sence hai?

[@user-ws4fk4bx2u]

Kia fr abelian group bhi cyclic group hota hai??

[@alexzone8763]

Sir reminder smjh nhi aaya please btaiye

[@vijendrakannaujiya3741]

Aap kis distinct se h

[@collegematerial5348]

Sir example 3 me aapne last me G={1 ..... } aur bhi elements likhe yaha me baad me equal 0 kyo kiya please tell

[@SandeepKumarGour]

1 ^6 that means = 1+1+1+1+1+1=6 And +6 means 6÷6 then remainder is Zero. Esly 0 likha

[@ruksanabano6646]

Ab hame samajh aa gaya sayad sir aisa aisa samjhana chate hai ki 6)2( To 2 chota hai isiliye divide nahi hoga aur reminder 2 bachega

[@SandeepKumarGour]

Yes

[@madhavichandra5874]

how does remainder is 4 if we divide 4 by 5

[@kalyanijaiswal4937]

No. Less than 5 is the remainder itself Like 4

[@anshikabanodhadrdz]

Sir,please tell me how is this possible that in e.g 3,5 is also generator??

[@SandeepKumarGour]

Send request on my instagram, i will send to you image for solution.

[@anshikabanodhadrdz]

@@SandeepKumarGour Thank you so much sir for your reply, I recently uninstall the Instagram but later i understand the solution with the help of second example nd solve it by myself.

[@maan23363]

​@@SandeepKumarGoursir 4/5 to 0 nhi hoga kya

[@Abhi_K1]

2/6= 2 how its possible.. can't understand...😢

[@Abhi_K1]

14:58

[@SandeepKumarGour]

Send request on my instagram, I will send to you complete solution image

[@polymers9987]

Bhai divide nhi bola modulo bola hai 2%6 =2

[@maan23363]

Bhi tuja samaj aya ho to mujha b batana

[@maan23363]

Bhi reminder matalab शेषफल ha hindi muja b nhi samaj aya tha hindi midium ka hu na

[@hunarbajaj4515]

jai shree ram apki vajah se coset pdna pda jo nhi arha upes ke hisab se chalo dusro ke hisab se nhi

[@rogue8275]

2 ko 6 se divide karke kaise 2 ata hai ?? 3 ayega to

[@SandeepKumarGour]

6 ko 2 se divide krne par remainder 0 aayega, 2 ko 6 se divide krege to reminder 2 hi aayega

[@rogue8275]

@@SandeepKumarGour ya realised that part after thinking for sometime.. u r doing x/6 and getting remainder x and keep doing this until it's 6/6 and remainder is 0

[@umashankarshankar6892]

I am not understand sir

[@umashankarshankar6892]

3/6 then remainder 0 ata h

[@ruksanabano6646]

​@@SandeepKumarGoursir ham soch soch ke pagal ho ja rahe hai reminder kaise 2 aayega

[@inxeoz]

(-i)^4 = (-i*-i)(-i*-i) = -1 * -1 = 1 😳

[@-RAJSINGH]

Yes exactly

[@ranidhamge5267]

Reminder ka concept smjh ni aa rha sir

[@SandeepKumarGour]

Jese 1 ki power 3 h that means 1+1+1=3 ho gya Ab 3 ko 6 se divide krna h 6)3(0 -0 -------- 3 {remainder}

[@alexzone8763]

Ooo 😲 esa sry me to utha kr rha tha tb se 😂

[@alexzone8763]

Sir but power ka matalab multiplication krte he na but aap ne to plus kr diya h 1 ko power 3 he that means 1*1*1 =1 But aap ne to kchh or kya h

[@alexzone8763]

Sir please reply

[@swatishankar3886]

Nhi smjh aaya.