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Vijay posted an Question
July 27, 2021 • 15:11 pm 30 points
  • IIT JAM
  • Mathematics (MA)

What is the relationship between centralizer of an element of a group and center of a group? 09:0

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    Deepak singh 1 Best Answer

    Refer attached

    cropped6138141481624760792.jpg
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    what does Center of a group mea n?

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    center of a group is the set of elements that commute with every element of G.

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    please show an example.

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    take group G=Q8 , then Z(G)= {1,-1} as 1 and -1 are the only elements which commute with every other elements

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