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Can a group have repeating elements?

  1. Jan 30, 2012 #1
    Can a group, G, have repeating elements? And if so does the order of G include these repeated elements?

  2. jcsd
  3. Jan 30, 2012 #2

    Stephen Tashi

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    Science Advisor

    You should define what you mean by "repeating elements".

    Among other things, a group is a set. When you consider the cardinality of a set that is given by a list of things, you don't count the same thing as being more than one element when it appears more than once in the list. Is that what you're asking?
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