Abstract Algebra | Subgroups of Cyclic Groups

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We prove that all subgroups of cyclic groups are themselves cyclic.

  1. Michael Penn
  2. math
  3. mathematics
  4. number theory
  5. abstract algebra
  6. Randolph College
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Комментарии
Автор

At 2:50, the conditions on the remainder should be 0 <= r < m

dharmapatel
Автор

Don’t we need to first show S is not empty to get a minimal element? It’s easy if g has finite order, since |g| is in S, but I don’t see any obvious choice if g has infinite order.

eukleidesk
Автор

"That's a good place to end this vi-"

skatethe
Автор

I don't know how to start, but let me explain it to you
I graduated from the College of Science, Department of Physics and Mathematics and I was the first in my class, and currently I am in Russia trying to study masters, but things here are bad, so I try to search for a free scholarships or any other work, ,, I searched through many websites but no avail.
I am talking to you because you seem to know many solutions,
Please answer me positively or negatively
thanks for your time Dr.Michael

omargaber