Question

2. We consider the symmetric group S5. Let s= (12)(345). Find the order of s

2. We consider the symmetric group S5. Let s= (12)(345). Find the order of s

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
Let S = {s1, s2, s3, s4, s5, s6} be the sample space associated with the...
Let S = {s1, s2, s3, s4, s5, s6} be the sample space associated with the experiment having the following probability distribution. (Enter your answers as fractions.) Outcome s1 s2 s3 s4 s5 s6 Probability 3 12 1 12 4 12 1 12 2 12 1 12 (a) Find the probability of A = {s1, s3}. (b) Find the probability of B = {s2, s4, s5, s6}. (c) Find the probability of C = S.
consider the dihedral group D6 of order 12 A) Find all of the subgroups of D6...
consider the dihedral group D6 of order 12 A) Find all of the subgroups of D6 B) Find all of the normal subgroups of D6
Show that the symmetric group Sn (for n>= 2) is generated by the 2–cycles (12) and...
Show that the symmetric group Sn (for n>= 2) is generated by the 2–cycles (12) and the n cycle (12.....n) .
Let G = <a> be a cyclic group of order 12. Describe explicitly all elements of...
Let G = <a> be a cyclic group of order 12. Describe explicitly all elements of Aut(G), the group of automorphisms of G. Indicate how you know that these are elements of Aut(G) and that these are the only elements of Aut(G).
Consider the following second-order differential equation: ?"(?)−?′(?)−6?(?)=?(?) (1) Let ?(?)=−12e^t. Find the general solution to the...
Consider the following second-order differential equation: ?"(?)−?′(?)−6?(?)=?(?) (1) Let ?(?)=−12e^t. Find the general solution to the above equation. (2) Let ?(?)=−12. a) Convert the above second-order differential equation into a system of first-order differential equations. b) For your system of first-order differential equations in part a), find the characteristic equation, eigenvalues and their associated eigenvectors. c) Find the equilibrium for your system of first-order differential equations. Draw a phase diagram to illustrate the stability property of the equilibrium.
Let (G,·) be a finite group, and let S be a set with the same cardinality...
Let (G,·) be a finite group, and let S be a set with the same cardinality as G. Then there is a bijection μ:S→G . We can give a group structure to S by defining a binary operation *on S, as follows. For x,y∈ S, define x*y=z where z∈S such that μ(z) = g_{1}·g_{2}, where μ(x)=g_{1} and μ(y)=g_{2}. First prove that (S,*) is a group. Then, what can you say about the bijection μ?
Let (G,·) be a finite group, and let S be a set with the same cardinality...
Let (G,·) be a finite group, and let S be a set with the same cardinality as G. Then there is a bijection μ:S→G . We can give a group structure to S by defining a binary operation *on S, as follows. For x,y∈ S, define x*y=z where z∈S such that μ(z) = g_{1}·g_{2}, where μ(x)=g_{1} and μ(y)=g_{2}. First prove that (S,*) is a group. Then, what can you say about the bijection μ?
Let G be a finite group and let H be a subgroup of order n. Suppose...
Let G be a finite group and let H be a subgroup of order n. Suppose that H is the only subgroup of order n. Show that H is normal in G. Hint: Consider the subgroup aHa-1 of G. Please explain in detail!
let S be the surface defined by x^4-2x^2y^2+3z^2=12, Find the equation of the tangent plane to...
let S be the surface defined by x^4-2x^2y^2+3z^2=12, Find the equation of the tangent plane to the surface S at (0,1,2).
find all generators of Z. let "a" be a group element that has infinite order. Find...
find all generators of Z. let "a" be a group element that has infinite order. Find all the generators of . Please prove and explain in detail please use definions and theorems. please i reallly want to understand this.