Question

In cycle notation,let σ=(135)(26)and τ=(456)inS6. (a) Find σ−1. (b) What is σ(3) equal to? (c) What...

In cycle notation,let σ=(135)(26)and τ=(456)inS6. (a) Find σ−1. (b) What is σ(3) equal to? (c) What is the order of σ? (d) Write down (in cycle notation) the elements of the cyclic subgroup of S6 generated by σ. (e) Compute στσ−1.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Compute the indicated operation involving the following permutations in S6: δ = ( 1 2 3...
Compute the indicated operation involving the following permutations in S6: δ = ( 1 2 3 4 5 6 3 1 4 5 6 2 ) σ = ( 1 2 3 4 5 6 2 4 5 1 6 3 ) µ = ( 1 2 3 4 5 6 5 2 4 3 1 6 ) a. δ2σ-2 b. µ23 c. Find the order of µ, |〈µ〉|. d. Write σ as product of disjoint cycles, and as product...
A subset of a power set. (a) Let X = {a, b, c, d}. What is...
A subset of a power set. (a) Let X = {a, b, c, d}. What is { A: A ∈ P(X) and |A| = 2 }? comment: Please give a clear explanation to what this set builder notation translate to? Because I've checked the answer for a) and it is A= {{a,b}, {a,c}, {a,d}, {b,c}, {b,d}, {c,d}}. I don't understand because the cardinality of A has to be 2 right? Meanwhile, the answer is basically saying there's 6 elements. So...
Let P[A] = P[B] = 1/3 and P[A ∩ B] = 1/10. Find the following: (a)...
Let P[A] = P[B] = 1/3 and P[A ∩ B] = 1/10. Find the following: (a) P[A ∪ Bc ] (b) P[Ac ∩ B] (c) P[Ac ∪ Bc ] Now, let P[A] = 0.38 and P[A ∪ B] = 0.84. (d) For what value of P[B] are A and B mutually exclusive? (e) For what value of P[B] are A and B independent?
Let lst1 = '(a b c d e), lst2 = '(1 2 3 4 5). The...
Let lst1 = '(a b c d e), lst2 = '(1 2 3 4 5). The proc function takes a list as input and returns the middle element of the list. What will be the following expression evaluate to: (append (cons (first lst1) '()) (cons (cdddr lst1) '()) (cons (proc lst1) '()) (cons (proc lst2) '()) (cons (fifth lst1) '())    ) a. '(a d e c 3 e) b. '(a d e c 3 d) c. '(a (d e)...
Let S = {A, B, C, D, E, F, G, H, I, J} be the set...
Let S = {A, B, C, D, E, F, G, H, I, J} be the set consisting of the following elements: A = N, B = 2N , C = 2P(N) , D = [0, 1), E = ∅, F = Z × Z, G = {x ∈ N|x 2 + x < 2}, H = { 2 n 3 k |n, k ∈ N}, I = R \ Q, J = R. Consider the relation ∼ on S given...
Suppose thatA∼N(μ= 3,σ= 5),B∼N(μ= 2,σ= 4), andC∼Exp(λ= 1/6) areindependent RVs. Find the distribution (shape, center, spread)...
Suppose thatA∼N(μ= 3,σ= 5),B∼N(μ= 2,σ= 4), andC∼Exp(λ= 1/6) areindependent RVs. Find the distribution (shape, center, spread) of the following RV expressions and state whether the distribution is exactly or approximately equal to your claim. 1.D=A+B 2.E= 3A−2B 3.F=A1+A2+···+A14, whereA1,...,A14are independent values fromA. 4.G=C1+C2+···+C47, whereC1,...,C47are independent values fromC.
Let X = {1, 2, 3} and Y = {a, b, c, d, e}. (1) How...
Let X = {1, 2, 3} and Y = {a, b, c, d, e}. (1) How many functions f : X → Y are there? (2) How many injective functions f : X → Y are there? (3) What is a if (x + 2)10 = x 10 + · · · + ax7 + · · · + 512x + 1024?
2. For the production function ?(?, ?) = 10 ?^(1/3) ?^(1/ 3) A)Write down the Lagrangian...
2. For the production function ?(?, ?) = 10 ?^(1/3) ?^(1/ 3) A)Write down the Lagrangian for the cost minimization problem B)Find the first-order conditions for the cost minimization problem and e what they mean (economic terms, not math). C). Find the contingent input demand functions. Give an intuitive explain what they are. D). Find the firm supply function for a firm that is a price taker. Give an intuitive explanation of what it is. d. Find the firm supply...
Let the population have N=7 units, with {(unit,value)} = {(A,-1),(B,+1),(C,-2),(D,+3),(E,-4),(F,+5),(G,-6)}. The design is as follows: first...
Let the population have N=7 units, with {(unit,value)} = {(A,-1),(B,+1),(C,-2),(D,+3),(E,-4),(F,+5),(G,-6)}. The design is as follows: first choose A or B at random; if A then choose from {C,D} at random, if B then choose from {E,F,G} at random. 1) Find the first-order inclusion probabilities (note that the sample size n is fixed at 2). Verify (show numerically for this example) that the Horvitz-Thompson estimator is unbiased for the population total. (Hint: find the probability of each sample and the value...
Let f(x)=(1/2)(x/5), x=1,2,3,4 Hint: Calculate F(X). Find; (a) P(X=2) , (b) P(X≤3) , (c) P(X>2.5), (d)...
Let f(x)=(1/2)(x/5), x=1,2,3,4 Hint: Calculate F(X). Find; (a) P(X=2) , (b) P(X≤3) , (c) P(X>2.5), (d) P(X≥1), (e) mean and variance, (f) Graph F(x)