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Definitions
Normal
closure
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Normal closure
Normal closure
The term
normal closure
is used in two senses in
mathematics
:
In
group theory
, the
normal closure
of a subset of a
group
is the smallest
normal subgroup
that contains the subset; see
conjugate closure
.
In
field theory
, the
normal closure
of an
algebraic extension
F
/
K
is an extension field
L
of
F
such that
L
/
K
is
normal
and
L
is minimal with this property. See
normal extension
.
Wikipedia, the free encyclopedia © 2001-2006
Wikipedia contributors
(
Disclaimer
)
This article is licensed under the
GNU Free Documentation License
.
Last updated on Friday March 24, 2006 at 16:54:24 PST (GMT -0800)
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