a We have shown that C = b a the isomorphism f: CC where f - | a, b € a, beR is field. Show that CC given by (190 a -b]). a = a + bi.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.6: Quotient Groups
Problem 11E: Find all homomorphic images of the quaternion group.
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alla
a
We have shown that C =
b
the isomorphism f: CC where
f
-
a
b
a, bR is field. Show that CC given by
-b
a
-
= a + bi.
Transcribed Image Text:alla a We have shown that C = b the isomorphism f: CC where f - a b a, bR is field. Show that CC given by -b a - = a + bi.
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