= { [82] [a,bER} 1, beR is field. Show that CC given by ber} b a A) We have shown that C = the isomorphism f: CC where -b *([]). b a f = a + bi.
= { [82] [a,bER} 1, beR is field. Show that CC given by ber} b a A) We have shown that C = the isomorphism f: CC where -b *([]). b a f = 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.
Related questions
Question
please answer A
![(A) We have shown that C = -{[%
b
the isomorphism f: CC where
YD) C
O TI
D]a,bER}
-b
a, bER is field. Show that CC given by
a
= a + bi.
COR (:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F850cccdb-7a8f-4495-9a49-b5538d79e182%2Fb2f1fbcd-82cf-47d3-8d2d-4119d0850e0c%2Fazhyc1n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(A) We have shown that C = -{[%
b
the isomorphism f: CC where
YD) C
O TI
D]a,bER}
-b
a, bER is field. Show that CC given by
a
= a + bi.
COR (:
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