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
Famous quotes containing the words higher and/or orders:
“Men may rise on stepping-stones
Of their dead selves to higher things.”
—Alfred Tennyson (1809–1892)
“Our own physical body possesses a wisdom which we who inhabit the body lack. We give it orders which make no sense.”
—Henry Miller (1891–1980)