The elements of order 8 in the group (Zg ,+) is a)4 b) 5 c)6 d) 8

Q: In the ring Z:[x] 1- The inverse of x² is a) x+1 b) x2 +1 с) х d) x2 2- The value that replaces x is…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 5) A. Define the dihedral group D, and write the elements. Find the order of element yx³ and compute…

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Q: Let 7={a: a€R}, then 9 is Borel algebra. ylgn ihi

A: True

Q: 5. The number of elements of Z3[x] / is а) 3 b) 6 c) 8 d) 9 O a) O b) O c) d)

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Q: Let G be a cyclic group of order 7. Then the number of elements ge G such that G = is : a) 5 b) 3…

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Q: 9. Which of the following groups are cyclic? Justify your answer. a) Z;×Z12 b) Z1,×Z, c) Z2×Z8×Z16…

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Q: What is the order of the (entire) symmetry group in R3 of a 3-prism?

A: Consider the a prism as shown below, Here F,G,H are midpoint of the lateral edges. Let G be the…

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A: We have to show that <a,b>=<a,ab>

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Q: What is the order of the symmetry group in R3 of a 4-prism (a boxwith square ends that is not a…

A: Given: Symmetry group in R3 of a 4-prism.To find: The order of given symmetry group.

Q: Construct the group table for A4.

A: S4 is the set of all permutations on the set of four elements namely {1,2,3,4}. Then A4 is the set…

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Q: Let Sn be the group consisting of the set of all permutations on n letters, together with the…

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Q: What is the order of the symmetry group in R3 of an n-prism?

A: Let A1,A2,…,An, B1,B2,…,Bn be the vertices of the n-prism, and C1,C2,…,Cn are the midpoint of the…

Q: What is the order of the (entire) symmetry group in R3of a 3-prism?

A: A 3-prism is a polyhedron with two congruent and parallel faces (called the bases) and rectangular…

Q: The number of zero divisors of the ring Z4 O Z2 is a) 11 b) 5 c) 7

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Q: If a = 275 and b = 45 then find the following: 1) Find gcd(a, b) "use Euclidean algorith m" 2) Write…

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Q: 11) The upper class boundary for the group between 11 and 19 is a) 10.5 b) 11.0 c) 19.0 d) 19.5 e)…

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Q: List all the elements of the group .

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Q: How many elements of order 5 are in S7?

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Q: The elements of order 8 in the group (Zg ,+) is a)4 b) 5 c)6 d) 8

A: In this question we have to find the number of elements of order 8. (a) 4 is correct option

Q: 1) The of 77 is proper ideals a) { o. 2, 43 b) fo, 1, 3,5} c) { o}i d) {0,l,2, 3, 4,5,6 }

A: Given :   Proper ideal of z7

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Q: In the additive group of the integers modulo 12, the inverse of 5 is a) 4 b) 6 c) 5 d) 7 e) 10

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Q: If U(14) = ,then U(14) is cyclic group generator by a) 4 b) 11 c) 3 d) None of the above

A: We have to find the generator of U(14)

Q: 10. When dividing x* + 3x? + 2x + 1 by x² + 2x + 3 in Z5[x], the remainder is а) 0 b) 2 c) 3 d) 4 a)…

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Q: 6.2 Which of the following groups are cyclic? a) Z12×Z, b) Z10x Zgs c) Z4xZ2sx Z, d) Z22XZ21 xZ6s

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Q: 1+xr 1+x* a) b)

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Q: Fill in the blank. A distinct group of objects without regard to their arrangement is called a A…

A: topic - combination

Q: 1. 3 in (Z90, +90) 2. 4 in U(21), the group of units modulo 21.

A: