Is there an accepted name for abelian groups of the form $\prod_{i=1}^n \mathbb{Z}_{p_i}$ for some primes $p_1,\dotsc,p_n$? (i.e: direct products of cyclic groups of prime orders, or in other words - direct products of elementary abelian groups).
Naming: How to call a direct product of elementary abelian groups?
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$\begingroup$
group-theory
notation
1 Answers
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If the primes are distinct, these are the cyclic groups of square-free order.
If the primes are not distinct, these are the abelian groups of square-free exponent.
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1On the other hand, *direct product of elementary abelian groups* is just as good, if not better. – 2011-05-24