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A) Show that if n is odd then the set of all n-cycles consists of two conjugacy classes of equal size in An
b) Let G be a transitive permutation group on the finite set A with |A|>1. Show that there is some g in G such that g(a) is not equal to a for all a in A. (Such an element g is called a fixed point free automorphism)
c)Let G be a group, let A be an abelian normal subgroup of G, and writeG(bar)=G/A. Show that G acts(on the left) by conjugation on A byg(bar)a=gag^-1, where g is any representative of the coset g(bar). Give an explicit exxample to show that this action is not well defined if A is not abelian.
Ps. For part c G(bar) stands for notation of G with a bar(line) on the top....I don't know how to better type this notation on this screen.
Compute the probability
Compute equations for the vertical and horizontal asymptotes
1. freddies fruits delivers orchard-fresh fruits to your doorstep every morning. if you sign up for a 5.00month vip
If you were to let A be a 6 x 14 matrix where the dimension of the row space is 3 (dim(R(A) = 3), what would the dimension of the null space of matrix A (dim(N(A)) be and what would the dimension of the null space of A^T (dim(N(A^T)) be?
Simplify the formula
What is the width of a rectangle with a perimeter of 300 feet and a length of x feet? Write the equation in the slope-intercept form: 2x + 3y = 90.
computer crime has become a serious matter for your discussion board post consider the followingdo you think computer
Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27 contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen
Suppose that the number of cars, C, on 1st Avenue in a city over a period of time t, in months, is graphed on a retangular coordinate system where time is on the horizontial axis.
Estimate the vertex and all intercepts of the parabola
If three sensors are selected at random for inspection, what is the probability that the system will be found in a failed state? Please explain equation used and steps to solve the problem.
Write the fraction in terms of the LCM
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