Question

Assume a: Z3 X Z3 → Z3 X Za is a function, and suppose you know that a ((1), [0])) = ((0], [2]) a(((0), (4))) = (4), (4)). (a) (7 points) Assuming a is an automorphism of Z3 X Za, determine the remaining values of a (and show your work): × a (((0], (0])) = a(([2]: [0])) = a (4), (4))) = ∞(([2), [1))) = a ((0), (2])) = a (((1), [2])) = a (12), [2])) =

Name: assume a z3 x z3 z3 x za is a function and suppose you know that a 1 0 0 2 a0 4 4 4 a 7 points assuming a is an automorphism of z3 x za determine the remaining values of a and show your work 39409
Uploaded: 2023-01-09T13:50:46-08:00
Duration: 1 min 48 s
Channel: Sri K
Description: assume a z3 x z3 z3 x za is a function and suppose you know that a 1 0 0 2 a0 4 4 4 a 7 points assuming a is an automorphism of z3 x za determine the remaining values of a and show your work 39409

          Assume a: Z3 X Z3 → Z3 X Za is a function, and suppose you know that a ((1), [0])) = ((0], [2]) a(((0), (4))) = (4), (4)). (a) (7 points) Assuming a is an automorphism of Z3 X Za, determine the remaining values of a (and show your work): × a (((0], (0])) = a(([2]: [0])) = a (4), (4))) = ∞(([2), [1))) = a ((0), (2])) = a (((1), [2])) = a (12), [2])) =

Added by Carla G.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Sri K

01/09/2023

Step 1

To solve the problem, we need to determine the values of the function \( a \) given that it is an automorphism of \( \mathbb{Z}_3 \times \mathbb{Z}_a \) and we have some initial values. Show more…

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Assume a: Z3 X Z3 → Z3 X Za is a function, and suppose you know that a ((1), [0])) = ((0], [2]) a(((0), (4))) = (4), (4)). (a) (7 points) Assuming a is an automorphism of Z3 X Za, determine the remaining values of a (and show your work): × a (((0], (0])) = a(([2]: [0])) = a (4), (4))) = ∞(([2), [1))) = a ((0), (2])) = a (((1), [2])) = a (12), [2])) =