Is there a theorem that can help us count easily the number of subgroups of any given finite group?
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.
Here's how it works:
- Anybody can ask a question
- Anybody can answer
- The best answers are voted up and rise to the top
Here is a partial answer by G.A. Miller: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1077761/pdf/pnas01604-0036.pdf
It turns out that there is a way to count the subgroups of any given Abelian group.