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From Wikipedia, the free encyclopedia
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
K
1
(
A
)
{\displaystyle K_{1}(A)}
For a group, the
Whitehead group
Wh(
G
) of a group
G
, equal to
K
1
(
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(π
1
(
A
)); see
Whitehead torsion
.
All named after
J. H. C. Whitehead
.
Topics referred to by the same term
This
disambiguation
page lists mathematics articles associated with the same title.
If an
internal link
led you here, you may wish to change the link to point directly to the intended article.
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:
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