A Generalisation To Higher Orders
It can also be of interest to go beyond prime order components to prime-power order. Consider an elementary abelian group G to be of type (p,p,...,p) for some prime p. A homocyclic group (of rank n) is an abelian group of type (pe,pe,...,pe) i.e. the direct product of n isomorphic groups of order pe.
Read more about this topic: Elementary Abelian Group
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