centre of queternion group ?
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When n is even, the center consists of the identity element together with the 180° rotation of the polygon. The center of the quaternion group, Q8 = {1, −1, i, −i, j, −j, k, −k} , is {1, −1} . The center of the symmetric group, Sn, is trivial for n ≥ 3.
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1
Answer:
When n is even, the center consists of the identity element together with the 180° rotation of the polygon. The center of the quaternion group, Q8 = {1, −1, i, −i, j, −j, k, −k} , is {1, −1} . The center of the symmetric group, Sn, is trivial for n ≥ 3.
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