Does the set of the nth roots of unity [Eq. (1.36)] with the rule of combination being

Question:

Does the set of the nth roots of unity [Eq. (1.36)] with the rule of combination being ordinary multiplication form a group? Justify your answer.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Quantum Chemistry

ISBN: 978-0321803450

7th edition

Authors: Ira N. Levine

See More Books

Question Posted: May 26, 2016 06:31 AM

See More Questions

Does the set of all square matrices of order four form a group if the rule for forming the "product" of two elements is matrix addition?
(a) Find the cube roots of 1. (b) Explain why the n nth roots of 1 when plotted in the complex plane lie on a circle of radius 1 and are separated by an angle 2/n from one another
State whether each of the following is a group. (a) All the real numbers with the rule of combination for forming the product of two elements being addition. (b) All positive integers with the rule...
Given: MIII; Prove: M Use the definitions and postulates given in Example 2 to prove the theorems in Problems 914. Give both statements and reasons.
A machine that cost $120,000 three years ago can be sold now for $54,000. Its market value for the next 2 years is expected to be $40,000 and $20,000 one year and 2 years from now, respectively. Its...
List and briefly describe what you believe are the three most important steps Hotel Paris management can take now to reduce the likelihood unions will organize more of its employees. The Hotel Pariss...
Using information from the Application "Flight Insurance," calculate the price of fair insurance if the probability were as high as 0.00000077 , the frequency in 2001 when many people died in the...
A long plastic rod of 30-mm diameter (k = 0.3 W/m K and pc p = 1040kJ/m 3 K) is uniformly heated in an oven as preparation for a pressing operation. For best results, the temperature in the rod...
1. Explain the transfer of energy from the water through the dam to become electricity that can be used in your home. ( In your response, be sure to identify sources of both potential and kinetic...
Clare Jaccard has $5,000 to invest. Because she is only 25 years old, she is not concerned about the length of the investments life. What she is sensitive to is the rate of return she will earn on...
It is common to use rotation-inversion axes (rather than rotation-reflection axes) to classify the symmetry of crystals. Any Sn axis is equivalent to a rotation-inversion axis (symbolized by p) whose...
Give the point group of each of the following molecules. (a) CH4; (b) CH3F; (c) CH2F2; (d) CHF3; (e) SF6; (f) SF5Br; (g) trans@SF4Br2; (h) CDH3.
Solve each equation. (x - 3) 2/5 = (4x) /5
What wisdom does Hugo's novel Les Miserable convey that you can use in your life? Explain with specific insights.
What does Duncan call Macbeth when he hears Macbeth has defeated Macdonwald?
how can music encourage people to participate in advocating for social change their community? explain
(b) Consider the following Verilog code implementing a finite state machine (FSM). (i) Draw the corresponding state transition diagram. Explain what this FSM does. (4 marks) (2 marks)
What are the themes and subthemesin the Fall of the House of Usher?
A cell phone company offers two plans for minutes. Plan A: $15 per month and $2 for every 300 texts. Plan B: $25 per month and $0.50 for every 100 texts. How many texts would you need to send per...
In Problem 8.43, determine the smallest value of for which the rod will not fall out of the pipe. IA -3 in.-
Normal atmospheric pressure is 1.013 X 105 Pa. The approach of a storm causes the height of a mercury barometer to drop by 20.0 mm from the normal height. What is the atmospheric pressure? (The...
A U-tube of uniform cross-sectional area, open to the atmosphere, is partially filled with mercury. Water is then poured into both arms. If the equilibrium configuration of the tube is as shown in...
The human brain and spinal cord are immersed in the cerebrospinal fluid. The fluid is normally continuous between the cranial and spinal cavities. It normally exerts a pressure of 100 to 200 mm of...
Building and construction projects must comply with environmental requirements. Identify the legislation that relates to the environmental Acts for New South Wales.
make a program that does the following: 1) give an example of an abstract class named SpaceShip . It will include: - a data member named numEngines of type int - a data member named name of type...
Consider the following function over the given interval. f(x) = 16x2, [-4,4] b Evaluate the integral, f(x) dx. 256 3 Find the average value of the function over the given interval. (Round your answer...

Does the set of the nth roots of unity [Eq. (1.36)] with the rule of combination being

Question:

Step by Step Answer:

We have e i2 k nei2 jn ei2 k jn where k and j ...View the full answer

Quantum Chemistry

Students also viewed these Mechanics questions