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Normalizer

The set of elements g of a group such that

g^(-1)Hg=H,

is said to be the normalizer N_G(H) with respect to a subset of group elements H. If H is a subgroup of G, N_G(H) is also a subgroup containing H.

See also

Centralizer, Tightly Embedded

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Cite this as:

Weisstein, Eric W. "Normalizer." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Normalizer.html

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