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Question

Math 6310 • Algebra

Fall 2025 • Question 1

Let \(p\) be a prime number.

  1. Find all the abelian groups with \(p^6\) elements.
  2. How many abelian groups are there with a million (i.e. \(10^6\)) elements?

Raw LaTeX

Let \(p\) be a prime number.
\begin{enumerate}

\item
Find all the abelian groups with \(p^6\) elements.


\item
How many abelian groups are there with a million (i.e. \(10^6\)) elements?

\end{enumerate}