Suppose that f:G-G such that f(x)- axa. Then fis a group homomorphism if and only if O a*2e O an4e O a*3e

Suppose that f:G-G such that f(x)- axa. Then fis a group homomorphism if and only if O a2e O an4e O a3e

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.2: Cayley’s Theorem

Problem 12E: Find the right regular representation of G as defined Exercise 11 for each of the following groups....

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ull ?
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Suppose that f:G → G such that f(x) = axa. Then fis a group homomorphism if
and only if
O a2 = e
a=e
a 4 = e
O a*3 = e

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