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])/{±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.
Topics referred to by the same term
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Whiteheadgroup in mathematics may mean: A group W with Ext(W, Z)=0; see Whitehead problem For a ring, the Whiteheadgroup Wh(A) of a ring A, equal to...
homotopy equivalence is its Whitehead torsion τ ( f ) {\displaystyle \tau (f)} which is an element in the Whiteheadgroup Wh ( π 1 ( Y ) ) {\displaystyle...
In group theory, a branch of abstract algebra, the Whitehead problem is the following question: Is every abelian group A with Ext1(A, Z) = 0 a free abelian...
Alfred North Whitehead OM FRS FBA (15 February 1861 – 30 December 1947) was an English mathematician and philosopher. He created the philosophical school...
Whitehead torpedo was the first self-propelled or "locomotive" torpedo ever developed. It was perfected in 1866 by British engineer Robert Whitehead from...
Lamor M. Whitehead (born April 30, 1978) is an American Protestant pastor and convicted felon, known also for his close relationship with New York City...
k-simple groups the Whiteheadgroup is trivial. In all known examples, W(k,G) is abelian. For an anisotropic k-simple group G, the abstract group G(k) can...
0 is called a Whiteheadgroup; MA + ¬CH proves the existence of a non-free Whiteheadgroup, while V = L proves that all Whiteheadgroups are free. In one...
Gustave Albin Whitehead (born Gustav Albin Weisskopf; 1 January 1874 – 10 October 1927) was an aviation pioneer who emigrated from Germany to the United...
Bass. His doctoral research focused on the Whiteheadgroup of p-adic integral group-rings of finite p-groups. Kuku held positions as a lecturer and professor...
the Whitehead problem: are all Whiteheadgroups of infinite order also free abelian groups? In the 1970s, Saharon Shelah proved that the Whitehead problem...
Jamal Norman Whitehead (born 1979) is an American lawyer who is a United States district judge of the United States District Court for the Western District...
mathematics), the Whitehead theorem states that if a continuous mapping f between CW complexes X and Y induces isomorphisms on all homotopy groups, then f is...
Peter Whitehead (songwriter), songwriter for American disco group Village People Whitehead (surname) This disambiguation page lists articles about people...
measured by the special Whiteheadgroup SK1(A) := SL(A)/E(A), where SL(A) and E(A) are the stable groups of the special linear group and elementary matrices...
Alan Patrick Vincent Whitehead (born 15 September 1950) is a British Labour Party politician who served as Member of Parliament (MP) for Southampton Test...
conjecture. It is even unknown if the Whiteheadgroup of F (see Whitehead torsion) or the projective class group of F (see Wall's finiteness obstruction)...
in Russia. Whitehead Mann was a London-based executive search firm that was acquired by Korn/Ferry International in June 2009. Whitehead Engineering...
Ennis Clement Whitehead (September 3, 1895 – October 12, 1964) was an early United States Army aviator and a United States Army Air Forces general during...
foundations of mathematics written by mathematician–philosophers Alfred North Whitehead and Bertrand Russell and published in 1910, 1912, and 1913. In 1925–1927...
the Whitehead manifold is an open 3-manifold that is contractible, but not homeomorphic to R 3 . {\displaystyle \mathbb {R} ^{3}.} J. H. C. Whitehead (1935)...
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