Group Homology
See also: Symmetric group#HomologyThe group homology of the alternating groups exhibits stabilization, as in stable homotopy theory: for sufficiently large n, it is constant. However, there are some low dimensional exceptional homology. Note that the homology of the symmetric group exhibits similar stabilization, but without the low dimensional exceptions (additional homology elements).
Read more about this topic: Alternating Group
Famous quotes containing the word group:
“He hung out of the window a long while looking up and down the street. The world’s second metropolis. In the brick houses and the dingy lamplight and the voices of a group of boys kidding and quarreling on the steps of a house opposite, in the regular firm tread of a policeman, he felt a marching like soldiers, like a sidewheeler going up the Hudson under the Palisades, like an election parade, through long streets towards something tall white full of colonnades and stately. Metropolis.”
—John Dos Passos (1896–1970)