Algebra mcqs test 10 29/11/202019/03/2019 by admin Please enter your email: 1. The set of cube roots of unity is a subgroup of C R C-{0} R† 2. Let An be the set of all even permutations of Sn is a subgroup of Sn. Then order of An is n!/3 n+1/2 n! n!/2 3. If X and Y are two sets, then X∩(XUY)’=0 X Y X∩Y Φ 4. The union of all positive even and all positive odd integers is Z W Z† N 5. Let be a dihedral group of order 8. Then which of the following is a subgroup of D4 6. The symmetries of rectangle form a Permutation group of order 3, S3 Kleins four group D4 optic Group Dihedral group of order 8 7. Any group G van be embedded in a group of bijective mappings of certain sets is a statement of Cayley’s theorem Isomorphism theorem Cauchy’s theorem Lagrang’s theorem 8. Let G be a finite group. Let H be a subgroup of G . Then which of the following divides the order of G index of H All of these order of H order of G 9. Let G be a cyclic group of order 24. Then order of is 2 8 4 6 10. Which of the following is abelian Loading … Pages: 1 2 3 4 5 6 7 8 9
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