(Abstract Algebra 1) The Structure of Cyclic Groups

This video looks at infinite cyclic groups and finite cyclic groups and examines the underlying structures of each. By looking at when the orders of elements in these groups are the same, several theorems are introduced and proven.

[sotirigeorgiou]

These videos have been a life saver for my abstract algebra course.. Would love it if you could do some videos on rings!

[HristoGeorgievHG]

The videos for abstract algebra are amazing! Keep up the good work!

[Man-qqvm]

Thank for video. Do you know how to find generator <r, f> of dihedral group D3 ?
D3={e, r, rr, rrr, f, rf, rrf, rrrf}.

[ajax]

Wish you did more videos! Isomorphisms through cosets and factor groups! Then onto rings in november! I would pay you

[arashmoradi]

i love the way you teach physic woow thanks a lot i hope you solve more question on AS physic for us !!! ( lots of love)

[mathtexas]

Thank you so much... your videos are amazing!

[MGB-wzjz]

Amazing work, I have trouble understanding my book (Dummit and Foote) and these videos are a great help to clarify each paragraph! Thanks:)

[Tuniyatv]

bakwaas hai group theory sala 3 baar back lag chuki hai is chutiye subject me pata nahi is baar pass hunga ki nahi

[matasraf]

Note for future learner:

<a> = { a^n | n in Z } if the set G is multiplicative and
<a> = { n*a | n in Z } if the set G is additive.

[vikascholleti]

Mind
But I need videos on the Criterion and
Please

[adrianaramirez]

thanks!!! please make more videos like this

[JMDJBD]

please explain how you applied division algorithm on
a^(u-v) = e

[lemyul]

ha. just like any other proof, it went over my head

[pareshmishra]

Sir please make a video of Lagranges theorem

[TheLanMerck]

Thanks for this. great help for my exam

[MrSamKeene]

You're work is really great. Mind if I ask you what programs you use to make and record your videos? Especially how it seems you can add new things onto the screen while adding in your own comments in real time? Thanks!

[Tbarrr]

at 3:30 how do we know the identity is zero? should it not be 1 since we are dealing we multiplication based on the fact that we are dealing with a^n rather than a*n which is for addition?

[dominiorganis]

hello Learnifyable, I am currently taking my masters degree and Im regulary watching your videos. What i'd like to know thow though is what writing application you're using in your videos? Thanks in advance

[Laloloop]

Thank you for the time and effort you put in this videos. Could you please recommend a book (or several) you consider to be great to begin with abstract algebra? I'd like to study mathematical logic, but I want to understand most of this topics before diving in. Thanks!

[edu_phelia]

Please you talk too fast. Slow down a bit please