(a) The subset G = {1,-1,i,-i,i,-j,k,-k} of the division ring K of real quaternions forms a group...
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(a) The subset G = {1,-1,i,-i,i,-j,k,-k} of the division ring K of real quaternions forms a group under multiplication.
(b) G is isomorphic to the quaternion group.
(c) What is the difference between the ring K and the group ring R(G) (R the field of real numbers)?
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a To show that G 1 1 i i j j k k forms a group under multiplication we need to verify the four group ...View the full answer
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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