(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.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 15, 2023 03:05 AM

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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...

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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

Algebra Graduate Texts In Mathematics 73

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