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Centralizer help please

  1. Oct 21, 2006 #1
    I'm currently self studying from an Algebra book but I'm having problems understanding the definition of the centralizer and center in a group :confused:

    Like for example what is C(a) and Z(G) for the Quaternion group?

    Can someone help? Many thanks!
  2. jcsd
  3. Oct 21, 2006 #2


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    Do you mean to say you're having trouble computing them, or understanding them?
  4. Oct 21, 2006 #3
    Both, would be very helpful if the definition was applied to the example excerise question I provided...
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