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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.
Evaluate the expression using the values given for the variables - Simplify the expression and write your answer as a fraction in lowest terms.
For the supply and demand functions below find the value of xe where equilibrium occurs. D(x) = -2x+275 and S(x) = 3x+150.
The vectors that represent the production at the various plants are not linearly independent. Show this and find a dependency equation.
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 as a root of multiplicity 2 and the square root of 5 as a
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.
How can i solve this equation with a graphing calculator
Write a linear inequality which incorporates the given information of total board feet and the board feet required for each type of rocker.
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 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
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