Question

Show that there is not element f E S5 such that f(1,2,3)f-1 = (1,2)(3,4,5)

Show that there is not element f E S5 such that f(1,2,3)f-1 = (1,2)(3,4,5)

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Let

Raising both sides to power 3 we get

Which is

Which equals

But (identity) and

So we get

Meaning which is absurd

Thus, there can't exist an element such that

Hope this was helpful. Please do leave a positive rating if you liked this answer. Thanks and have a good day!

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
write the vector w=(1,-4,13) as a linear combination of u1=(1,2,3), u2=(2,1,1), u3=(1,-1,2)
write the vector w=(1,-4,13) as a linear combination of u1=(1,2,3), u2=(2,1,1), u3=(1,-1,2)
(a) Give the order of each element of {1,2,3,...,10} modulo 11. (b) Find all possible products...
(a) Give the order of each element of {1,2,3,...,10} modulo 11. (b) Find all possible products of an element of order 2 with an element of order 5 and show that they give primitive elements modulo 11.
(a) Give the order of each element of {1,2,3,...,10} modulo 11. (b) Find all possible products...
(a) Give the order of each element of {1,2,3,...,10} modulo 11. (b) Find all possible products of an element of order 2 with an element of order 5 and show that they give primitive elements modulo 11.
Find the Arc Length f(x)= 3y^3 Intervals [1,2] please show steps
Find the Arc Length f(x)= 3y^3 Intervals [1,2] please show steps
Show that the slopes of the graphs of f and f^(-1) are reciprocals at the given...
Show that the slopes of the graphs of f and f^(-1) are reciprocals at the given point. f(x)=4/(1+x^2 ) (1,2) f^(-1) (x)=√((4-x)/x) (1,5)
Prove by choose-an-element. For sets D, E, and F in universal set U, (D U E)...
Prove by choose-an-element. For sets D, E, and F in universal set U, (D U E) - (F n E) = (D - F) U (E - F)
(IMT 1.1.6).Let E,F⊆R^d be Jordan measurable sets. 1. (Monotonicity) Show that if E⊆F, then m(E)≤m(F). 2....
(IMT 1.1.6).Let E,F⊆R^d be Jordan measurable sets. 1. (Monotonicity) Show that if E⊆F, then m(E)≤m(F). 2. (Finite subadditivity) Show that m(E∪F)≤m(E) +m(F). 3. (Finite additivity) Show that if E and Fare disjoint, then m(E∪F) =m(E) +m(F).
Let E/F be a field extension, and let α be an element of E that is...
Let E/F be a field extension, and let α be an element of E that is algebraic over F. Let p(x) = irr(α, F) and n = deg p(x). (a) For f(x) ∈ F[x], let r(x) (∈ F[x]) be the remainder of f(x) when divided by p(x). Prove that f(x) +p(x)= r(x)+p(x)in F[x]/p(x). (b) Prove that if |F| < ∞, then | F[x]/p(x)| = |F|n. (For a set A, we denote by |A| the number of elements in A.)
Show that if f is a bounded function on E with[ f]∈ Lp(E), then [f]∈Lq(E) for...
Show that if f is a bounded function on E with[ f]∈ Lp(E), then [f]∈Lq(E) for all q > p.
Consider the function f(x)=1/x on the interval [1,2]. Let P be a uniform partition of [1,2]...
Consider the function f(x)=1/x on the interval [1,2]. Let P be a uniform partition of [1,2] with 8 sub-intervals. Compute the left and right Riemann sum of ff on the partition. Enter approximate values, rounded to three decimal places.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT