Question: Abstract Algebra Solve #3 (a)-(c). Show ALL steps and proof. GIVE ORIGINAL ANSWER! 3. [pts] (Two groups of four elements) (a) Show that (G1, *1

Abstract Algebra

Solve #3 (a)-(c). Show ALL steps and proof.

GIVE ORIGINAL ANSWER!

Abstract Algebra Solve #3 (a)-(c). Show ALL steps

3. [pts] (Two groups of four elements) (a) Show that (G1, *1 ) given by *1 eabc P P h C C CL is a group. (b) Show that (G2, *2) given by * 2 e' a'b'c a b' b' b' e' a is a group. (c) Show that two groups (G1, *1) and (G2, *2) are not isomorphic. (Hint: Proof by Contradiction.)

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