None of theseU(14) is isomorphic to S3U(14) is isomorphic to U(7)U(14) is isomorphic to U(12)The number of elements in A6 is367206360Suppose that f:G → G such that f(x) = axa. Then fis a group homomorphism ifand only ifa = ea^4 = eO a^3 = e

We need to find the number of elements in A6

Answered: The number of elements in As is 36 O…

Math

Advanced Math

The number of elements in As is 36 O 720 360

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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Question

None of these
U(14) is isomorphic to S3
U(14) is isomorphic to U(7)
U(14) is isomorphic to U(12)
The number of elements in A6 is
36
720
6
360
Suppose that f:G → G such that f(x) = axa. Then fis a group homomorphism if
and only if
a = e
a^4 = e
O a^3 = e

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