Whitehead Group

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)

    Jury—A group of twelve men who, having lied to the judge about their hearing, health, and business engagements, have failed to fool him.
    —H.L. (Henry Lewis)