Prove that the nilradical of the group ring g is the augment

Assignment Help Algebra
Reference no: EM131027810

Let p be a prime and let G be an abelian group of order a power of p.

Prove that the nilradical of the group ring G is the augmentation ideal.

Reference no: EM131027810

Questions Cloud

Analyze financial ratios and cash flow measures of company : Does it utilize (low cost provider, differentiation, or focus)? Analyze financial ratios and cash flow measures of the company relative to its historical performance.
Goal setting-mary corey case : David Brooks was one of the most liked managers at the Financial Security Investments. In an industry known for its cutthroat competitiveness, high employee turnover, low loyalty, and high employee mobility, the 20 brokers who reported to Brooks h..
What is the value it creates and how affects the price : Dyson successfully sells its fans and heaters for 4150 to $400, whereas most conventional fans sell for around $25. Explain what is the value it creates and how this affects the price it can charge.
What is current price per share for berkshire hathaway stock : What is the current price per share for Berkshire Hathaway (Class A) stock? Identify the date of the closing stock price. Also state your source(s) of information.
Prove that the nilradical of the group ring g is the augment : Prove that the nilradical of the group ring G is the augmentation ideal.
Examples for specialized classification system terminologies : Many hospitals adopt a major terminology system such as ICD, yet there is a need for specialized classification system terminologies: 1.why do you think we need specialized classification terminologies? 2. Describe at least 2 examples for specialized..
A carpentry company produces four types of tables : A carpentry company produces four types of tables. The company has two workshops. All products need first to go through the production workshop and then to the second workshop to be painted. Here is the amount of labor-hour required for each of the t..
Prepare a data visualization and analysis report : Your report should include a short introduction, description of where you found the data, any data preparation and methods/analysis used; and discussion of how the visualisation facilitates your understanding of your data.
Prove that they are relatively prime in k[x] : Let F, K be two fields, F is a subset of K and suppose f(x), g(x) Є F[x] are relatively prime in F[x]. Prove that they are relatively prime in K[x].

Reviews

Write a Review

 

Algebra Questions & Answers

  Evaluate the expression using the values for the variables

Evaluate the expression using the values given for the variables - Simplify the expression and write your answer as a fraction in lowest terms.

  Find the value of production level where equilibrium occurs

For the supply and demand functions below find the value of xe where equilibrium occurs. D(x) = -2x+275 and S(x) = 3x+150.

  What are the feasible production schedules

The vectors that represent the production at the various plants are not linearly independent. Show this and find a dependency equation.

  How to proceed to show all inng form a normal subgroup

For the first part, I can see that we need to show that f(g(x)) = g(f(x)) for x in G and use f(x)=x as the identity in the group, but I' not certain how to proceed to show all innG form a normal subgroup?

  Find a polynomial of degree 5 with real coefficients and i

find a polynomial of degree 5 with real coefficients and i as a root of multiplicity 2 and the square root of 5 as a

  What is the maximum price that helen can charge

What is the maximum price that Helen can charge and still sell at least one can? What happens to her sales every time she raises her price by $1?

  Solve the following equation for x

Solve the following equation for x.

  Solve equation with a graphing calculator

How can i solve this equation with a graphing calculator

  Define type of rocker ozark furniture makes

Write a linear inequality which incorporates the given information of total board feet and the board feet required for each type of rocker.

  This mean that these vectors are linearly dependent

Also, if the zero vector is included among the vectors {v1, v2, ..., vk}, why would this mean that these vectors are linearly dependent?

  Find the dimensions of a cylinder of maximum volume

Find the dimensions of a cylinder of maximum volume that can inscribed in a cone with radius 12cm and height 20cm. A ball is thrown upward with a velocity of 39.2 m/sec from a height of 6cm. Find the maximum height.

  Simplify the formula for given variable

Simplify the formula for given variable

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