Galois theory and solvability by radicals

Assignment Help Algebra
Reference no: EM13118782

The problem states:

Let f(x) be an element of Q[x], (Q being the rationals), so that |Gal(f(x)|=255. Show that f(x) is solvable by radicals. Hint: Apply Sylow's theorems.

Reference no: EM13118782

Questions Cloud

Illustrate what is the rate at which the force does work on : A 190 kg block is pulled at a constant speed of 4.4 m/s across a horizontal floor by an applied force of 138 N directed 37° above the horizontal. Illustrate what is the rate at which the force does work on the block?
How much heat is required : How much heat is required to warm 227 g of ice from -45.5°C to 0.0°C, melt the ice, warm the water from 0.0°C to 100.0°C, boil the water, and heat the steam to 173.0°C.
Illustrate what is the temperature of the neon : Two ideal gases have the same mass density and the same absolute pressure. One of the gases is helium (He), and its temperature is 180 K. The other gas is neon (Ne). Illustrate what is the temperature of the neon?
How many of the chickens have black feathers : If there are 800 individuals in a chicken population that is in Hardy-Weinberg equilibrium and 128 of these have white feathers, how many of the chickens have black feathers?
Galois theory and solvability by radicals : Let f(x) be an element of Q[x], (Q being the rationals), so that |Gal(f(x)|=255. Show that f(x) is solvable by radicals. Hint: Apply Sylow's theorems.
Explain why the waiter will provide bad service : Explain why the waiter will provide bad service and since you are interested in good service, can you convince the waiter, in a binding/credible manner that you will tip him?
Probability number of people show up will exceed capacity : If the airline books 76 people on a flight for which the maximum number is 74, what is the probability that the number of people who show up will exceed the capacity of the plane?
Find out the height of the compressed air : Water is pumped into the tank until the air pressure reaches 4.0 atm. The temperature is constant. Find out the height of the compressed air.
Indicate whether each statement is true or false : Indicate whether each statement is true or false. A. Fungal cells typically have haploid nuclei, except just prior to meiosis. B. Haploid nuclei from different fungal individuals (e.g., mom and dad equivalents) in some groups can coexist in the sa..

Reviews

Write a Review

Algebra Questions & Answers

  Vertex and axis of symmetry from the graph

Vertex and axis of symmetry from the graph.

  Use the binomial theorem

Use the binomial theorem

  Problems of probability

Problems on probability

  Question regarding algebra problem

If the cost of a cell phone has decreased 400% during the past 10 years, does that correspond to a cost decrease of four times? Explain your answer as though you were talking to someone who has never taken algebra.

  Find the cost to remove the pollutant

Find the cost to remove the pollutant

  Discriminant in quadratic equation

What is the value of the discriminant? Which one of the statements below is correct?

  Elimination or substitution method to solve the equations

Elimination or substitution method to solve the equations.

  Calculate the additive inverse

Calculate the additive inverse.

  Determining the linear inequality

Determining the linear inequality. Graph the solution set on a number line: 4-X/6?7. What is the solution set?

  Factorability of trinomial

How would you use this procedure (factoring a quadratic expression with leading coefficient a = 1) to determine if a given polynomial is prime

  Solve the matrix equation by finding a to power

Solve the matrix equation by finding A to power

  Determining angiography expression

In digital subtraction angiography, two images are acquired, the first before injection of the contrast agent and the other post-injection.

Free Assignment Quote

Assured A++ Grade

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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd