Question

Let H ={σ∈Sn |σ(n) = n}. Show that H ≤ Sn and H∼= Sn-1.

Let H ={σ∈Sn |σ(n) = n}. Show that H ≤ Sn and H∼= Sn-1.

Homework Answers

Answer #1

I hope it helps. Please feel free to revert back with further queries.

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 s1 := 1 and Sn+1 := 1 + 1/sN n element N Show that (Sn)...
Let s1 := 1 and Sn+1 := 1 + 1/sN n element N Show that (Sn) has limit L and that l can be explicitly computed. What is the limit?
Let σ ∈ Sn. a) Prove that σ is even if and only if σ−1 is...
Let σ ∈ Sn. a) Prove that σ is even if and only if σ−1 is even. b) Prove that if φ ∈ Sn, then φ is even if and only if σφσ−1 is even.
Let n ≥ 2. Show that exactly half of the permutations in Sn are even ,...
Let n ≥ 2. Show that exactly half of the permutations in Sn are even , by finding a bijection from the set of all even permutations in Sn to the set of all odd permutations in Sn.
a. Prove for all σ, τ ∈ Sn that στσ−1 τ −1 ∈ An. b. Let...
a. Prove for all σ, τ ∈ Sn that στσ−1 τ −1 ∈ An. b. Let p and q be distinct odd primes. Prove that Zxpq is not a cyclic group.
Show that Sn = <(1, 2), (1, 2 , ..., n)>
Show that Sn = <(1, 2), (1, 2 , ..., n)>
let SN(x) = a0 + sum from 1 to N of (an cosnx + bn sin...
let SN(x) = a0 + sum from 1 to N of (an cosnx + bn sin nx) be the Nth partial sum of a Fourier series where a0, an and bn are constants and N is a positive integer Show that 1/pi [ integral from -pi to pi of |(SN (x)|^2 dx ] = 2a0^2 + sum from 1 to N of (an2 + bn2 )
   Let {Xi} be i.i.d. random variables with P(Xi=−1) = P(Xi= 1) = 1/2. Let Sn=...
   Let {Xi} be i.i.d. random variables with P(Xi=−1) = P(Xi= 1) = 1/2. Let Sn= 1 +X1+. . .+Xn be symmetric simple random walk with initial point S0 = 1. Find the probability that Sn eventually hits the point 0. Hint: Define the events A={Sn= 0 for some n} and for M >1, AM = {Sn hits 0 before hitting M}. Show that AM ↗ A.
let α,β ∈ Sn show that α^-1 ∘β^-1∘α∘β ∈ A_n  
let α,β ∈ Sn show that α^-1 ∘β^-1∘α∘β ∈ A_n  
If sn = 1+ 1/2 + 1/3 + 1/4 +···+ 1/n show that S 2^n ≥...
If sn = 1+ 1/2 + 1/3 + 1/4 +···+ 1/n show that S 2^n ≥ 1+n/2 for all n. Elementary Real Analysis
How can we show that the permutation matrix is orthogonal for all σ ∈ Sn?
How can we show that the permutation matrix is orthogonal for all σ ∈ Sn?