G is a group. Suppose a in G is the unique element of order 2. Show that ax=xa for all x in G. Start by showing that xax^(-1) has order two.
No idea where to start for this one.
Thanks in advance.
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G is a group. Suppose a in G is the unique element of order 2. Show that ax=xa for all x in G. Start by showing that xax^(-1) has order two.
No idea where to start for this one.
Thanks in advance.
Why is that the case?Quote:
Originally Posted by fulltwist8
(xy)^2 = e so xyxy = e so xy=yx