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Deepak Patra posted an Question
November 04, 2021 • 17:39 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
What's the difference between normalizer and centralizer??
what's the difference between normalizer and centralizer??
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Anonymous User![best-answer]()
normalizer of an element a of Group G is the set of those elements of G which commutative with a. normalizer of a is denoted by N(a) N(a)={x€G;ax=xa} center of Group G is the set of those elements of G which commutative with each element of G . center of G is denoted by Z(G) z(G)={x€G;gx=xg for all g € G}
what is the difference??
in normalizer commutative with particular elements but in center commutative with all elements
understand