Mathematics · Group Theory
Let (G, o) be a discrete group of order 4 where the group operation 'o' among the various elements of G = {e, a, b, c} is given by the following multiplication table: o | e a b c -------------- e | e a b c a | a e c b b | b c e a c | c b a e Which of the following statements is correct regarding the group (G, o)?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(G, o) is non-cyclic and non-abelian
- 2(G, o) is cyclic and non-abelian
- 3(G, o) is cyclic and abelian
- 4(G, o) is non-cyclic and abelian✓
Correct answer
(G, o) is non-cyclic and abelian
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