The number of elements in S6 is 6. 720 36 360

Q: 1. Let G be a group and let a € G. Define the centralizer of a in G, C(a), to be the set of all…

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Q: Let G = . The smallest subgroup of G containing a^8 and a^12 is generated by * a^12 a^4 a^6 a^2…

A: Smallest subgroup a^m & a^n  is a^gcd(m,n) = a^gcd(8,12) = a^4 So option 2nd are correct

Q: 27. Payton ran l miles on Monday, 2 miles on 7. miles on Wednesday. What is the 8. Tuesday, and 1-…

A: topic -median of distance median is the value in the middle when data is arranged in ascending or…

Q: 454 nearest c. What is the measure or a d. How much more guy wire would be neede wire were secured…

A: When two triangles  ABC and EFG are similar then  Their sides are  AB/EF = BC/FG

Q: 1. Complete proof below 2. Complete proof Below K www. 1. Complete the proof below. Given: JM 1 KL,…

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Q: Part III. Calculations 16. (Full Score: 12 points) Given X=(k,0, ...,0, k)'eR" with the real scalar…

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Q: a) √2(√5 +2√2-1)= b) (2√2-3√3). √2= c) (√6-1X2√6 + 2) =

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Q: Italian Algebra

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Q: Neil has some counters. Neil gives 40%. of his counters to Ben. He then gives - of the remaining…

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Q: (2a")(4a°)? 24a" 13 17

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Q: Consider the group G = {x E R|x # -1/2} under the binary operation*: x * y = 2xy – x +y– 1. An…

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

Q: Let G be a group. Let x,y e G be such that O(x) = 4, O(y) = 2, x^3 y = yx. Then O(xy) is 6. Infinity…

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Q: Which ordered pairs should be removed to make the graph a function?

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Q: Which of the following is cyclic? * O U30 O U50 O U20 O U40

A: B is the option:-U(50) As per the guidelines we can only solve one question at a time. Thank you.

Q: Italian Algebra

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Q: If A3x4 with Nullity(A) = 1, then Rank (AT) = O 1 2

A: Given matrix is A3x4 with nullity(A) = 1

Q: Use the left regular representation of the quaternion group Q8 to produce two elements of Sg which…

A: Fix the labelling of Q8 , Take elements 1, 2, 3, 4,  5, 6, 7, 8 are 1, -1, i, -i, j, -j, k, -k…

Q: Let G be an abelian group, then (acba)(abc)¯1 is

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Q: 4 In the group GL(2, Z¡), inverse of A = 3) This option

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Q: You are given two functions g (g) (a) g (h (g))= - 3/4 and h (q)-3q4+1. Compute the following…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Let a= (123)(145) in S6. Write a102 in disjoint cycle form. O (14523) O (32541) O (16)(24) None of…

A: Order of r-cycle = r

Q: A tin contains some cookies. Filip eats 4 cookies from the tin each day for 3 days. There are now z…

A: Please see the answer below.