Whitehead group in mathematics may mean:
- A group W with Ext(W, Z)=0; see Whitehead problem
- For a ring, the Whitehead group Wh(A) of a ring A, equal to
- For a group, the Whitehead group Wh(G) of a group G, equal to K1(Z)/{±G}. Note that this is a quotient of the Whitehead group of the group ring.
- The Whitehead group Wh(A) of a simplicial complex or PL-manifold A, equal to Wh(π1(A)); see Whitehead torsion.
All named after J. H. C. Whitehead.
Famous quotes containing the words whitehead and/or group:
“Art is the imposing of a pattern on experience, and our aesthetic enjoyment is recognition of the pattern.”
—Alfred North Whitehead (1861–1947)
“A little group of wilful men reflecting no opinion but their own have rendered the great Government of the United States helpless and contemptible.”
—Woodrow Wilson (1856–1924)