Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Let G be any non-Abelian group of order 6. By Cauchy's theorem, G has an element, a, of order 2. Let H = a, and let S be the set of left cosets of H.
(a) Show H is not normal in G. (Hint: If H is normal, then H is a subset of Z(G), and then it can be shown that G is Abelian)
(b) Use the below result and part (a) to show that G must be isomorphic to Sym(S). Thus any non-Abelian group of order 6 is isomorphic to S_3.
"Let H be a subgroup of G, and let S denote the set of left cosets of H. For a,x an element of G define a(xH)=axH. The multiplication defined yields a group action of G on S. Let phi: G --> Sym(S) be a homomorphism that corresponds to the group action defined above then the ker(phi) is the largest normal subgroup of G that is contained in H. Assuming that G is finite and let [G:H]=n then if n! is not divisible by |G| then H must contain a nontrivial subgroup of G."
Find an equation of the circle whose diameter has endpoints at (-5 , 2) and (3 , 6).
Let f: A → B and g: C → D. Define f x g = {((a, c), (b, d)): (a, b) ∈ f and (c, d) ∈ g}. Prove that fxg:AxC → BxD. For (a, c) ∈ A x C, find an explicit expression for (f x g)(a, c).
Find and label the vertex and the line of symmetry. Find the vertex, the line of symmetry, and the maximum or minimum value of f(x).
In your own words, please explain the difference between evaluating an expression and solving an equation.
write the equation in slope-intercept form using these points 3-1
Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression for x = 5.
Please help me with this problem: What is the remainder when 314^164 is divided by 165? (Watch out - 165 is not prime!) Please show all work. Thanks in advance for the help.
Determine whether each of the following sequences are arithmetic or geometric
Have a % 56% discount have the amount of 285.13 what was the amount used to get to 285.13? How did you get?
Find the accumulated value of an investment.
Use S= C(1+r/100)^5 to find the inflated cost S, in 5 years, of an item, good or service, where C= (17,908.02 KRW) is the current price of that item in that country's currency
Describe two laws of exponents and provide an example illustrating each law. Explain how to simplify the expression. How do the laws work with rational exponents?
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd