Consider the elements σ1 = (152)(34) and σ2 = (163)(45) in S6. Calculate an element τ ∈ S6, written as a product of disjoint cycles so that σ2 = τσ1τ-1. I know from the answers that τ=(56234) and τ-1=(65432), I just don't know how they find these answers, so if able please explain step by step in detail. Thank you in advance.

Consider the elements σ1 = (152)(34) and σ2 = (163)(45) in S6. Calculate an element τ ∈ S6, written as a product of disjoint cycles so that σ2 = τσ1τ-1. I know from the answers that τ=(56234) and τ-1=(65432), I just don't know how they find these answers, so if able please explain step by step in detail. Thank you in advance.

Related questions

Q: Plot the graphs of f(x) = x^2 and y(x) = √(4-x^2), where x [-2; 2]. Calculate analytically the…

A: The objective of the question is to plot the graphs of the functions f(x) = x^2 and y(x) =…

Q: Because V acts only on the unprimed coordinates, the term Vx J(F'") vanishes and because the…

A: Here let us consider the current density is a function of r'. Let the magnetic field is to be…

Q: Consider the line element of the sphere of radius a: ds2 = a2(dθ2 + sin2 θ dØ2 ). The only…

Q: ƒ(0 − x) = - m 2πh2 ¸iq·r 1 Qd³ñ Seiq Απερ

A: Given For spherical polar co-ordinate

Q: TO BE CLEAR: I asked this question before, but it was rejected since it was thought to be graded. IT…

A: The expression for the charge on first capacitor is,

Q: A triangle in the xy plane is defined with = (0,0), (0, 2) and corners at (x,y) (4, 2). We want to…

A: The triangle has corners at (x,y)=(0,0), (0,2) and (4,2). We have a function f(x,y) which we need to…

Q: 2 In an ant colony, there are different types of ants, one type being the workers. Suppose that the…

A: For any natural number N, natural number is always positive.

Q: In terms of the totally antisymmetric E-symbol (Levi-Civita tensor) with €123 = +1, the vector…

A: The objective of the question is to prove several properties of the vector product and the…

Q: (a)In the deep space between galaxies, the density of atoms is as low as 106 atoms/m3, and the…

Q: Let's say you have a plot for Pendulum experiment. Let's assume g for this experiment was measured…

Q: ds²=- Consider the following spacetime: dr² dt2 · + r² (də² + sin² 0 dø²), where > 0 is a constant.…

A: Step 1:Step 2:Step 3:

Q: What fraction of the light from the Sun is intercepted and reflected by the Earth? To get an upper…

Q: I need a b and c answered

A: (b) Let’s make the calculation for integration

Q: Do periodic functions, where f (x = 0) = f (x = L), form a vector space? If they do, explicitly show…

A: f(x) is a periodic function with the following conditions f (x = 0) = f (x = L), This time period is…

Q: Add the 2x2 identity matrix along with the three 2x2 Pauli matrices (see image 1), and show that any…

A: Let M be any 2×2 arbitrary matrix described as below, Here C is the set of all the complex numbers.

Q: A wire of the shape of y=ax² is rotating around its vertical axis with an angular velocity wo (see…

Q: I am confused with part (e). I don't understand the steps. How is 1.427 obtained? How is the 20t…

Q: The eigenvalues a

Q: Use a proof by contradiction to show that for all integers n, n²- 2 is not divisible by 4.

A: Introduction: Suppose the given function n2-2 is divisible by 4 then we can check whether it is…

Q: Consider a system with l = 1. Use a three-component basis, |m>, which are the simultaneous…

A: Solution: For l = 1, the allowed m values are 1, 0, -1 and the joint eigenstates are |1,1>,…

Q: Find parametric equations for the line through (- 10,2, – 4) perpendicular to the plane 10x + 9y +…

Q: Integration over these velocity space variables would then take the form de [d³on(r, v.1)= [ do v²…

A: Given : integration in terms of velocity variables , And our task to write the given integration in…

Q: Prove the following equation P,y(x,t)= py(x,t) with p=2 (2x-1) Knowing that y (x,t)=3e"

A: Here Px^=-i h2π∇→ . This is the momentum operator the wavefunction will be ψ(x,t)=3 e2πih2x-twhen…

Q: (a) Prove the "vertical angle hypothesis" (I. 15): opposing angles are congruent if two lines cut…

A: pleas see the next step for solution

Q: 1.16. Establish thermodynamically the formulae V (T) ² = S and V JP aμ = N. Express the pressure P…

A: To prove the thermodynamically the formula given as

Q: Example of numerical instability: Take y′ = −5y, y(0) = 1. We know that the solution should decay to…

A: Given:- dydx= -5ys0 = 1 By Euler's formula: s1 = y0 +h +x0,s0Where, fx,y = dydx=…

Q: A car travels at a constant speed of 70 miles per hour. The distance the car travels in miles is a…

A: Note: As per our guidelines, we are supposed to answer only one question. Kindly repost the other…

Q: Please, I want to solve the question correctly, clearly and concisely

A: Step 1:Step 2:Step 3: Step 4:

Question

Consider the elements σ1 = (152)(34) and σ2 = (163)(45) in S₆. Calculate an element
τ ∈ S₆, written as a product of disjoint cycles so that σ2 = τσ1τ^-1.

I know from the answers that τ=(56234) and τ^-1=(65432), I just don't know how they find these answers, so if able please explain step by step in detail. Thank you in advance.

Expert Solution