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I would like to calculate general $n$th power of $i+j$ in the group ring.

My idea was to find some patterns after calculating some powers of i+j, conjecture the general form of nth power of it and prove it by induction. But i cannot find any patterns...... So any help will be very appreciated.

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  • $\begingroup$ How many powers did you compute? $\endgroup$ – Tobias Kildetoft May 5 '16 at 11:24
  • $\begingroup$ Quaternion group (not "quarternion group"). $\endgroup$ – Dietrich Burde May 5 '16 at 15:17
  • $\begingroup$ It would help a lot if you show already calculated powers. $\endgroup$ – lisyarus May 24 '16 at 10:25

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