Show that N = {(1), (12)(34), (13)(24), (14)(23)} is a normal subgroup of S 4 contained in
Question:
Show that N = {(1), (12)(34), (13)(24), (14)(23)} is a normal subgroup of S4 contained in A4 such that S4/ N ≅ S3 and A4/ N ≅ Z3.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (4 reviews)
ANSWER To show that N is a normal subgroup of S4 we need to show that for any g in S4 and any n in N ...View the full answer
Answered By
Churchil Mino
I have been a tutor for 2 years and have experience working with students of all ages and abilities. I am comfortable working with students one-on-one or in small groups, and am able to adapt my teaching style to meet the needs of each individual. I am patient and supportive, and my goal is to help my students succeed.
I have a strong background in math and science, and have tutored students in these subjects at all levels, from elementary school to college. I have also helped students prepare for standardized tests such as the SAT and ACT. In addition to academic tutoring, I have also worked as a swim coach and a camp counselor, and have experience working with children with special needs.
0.00
0 Reviews
10+ Question Solved
Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
Question Posted:
Students also viewed these Mathematics questions
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-6. On December 12, Irene purchased the building where her store is located. She paid...
-
A researcher wanted to find out if there was difference between older movie goers and younger movie goers with respect to their estimates of a successful actors income. The researcher first...
-
Classify the following as microeconomics or macroeconomics and provide a justification for your choice. (i) The effect of changes in household saving rates on the growth rate of national income. (ii)...
-
Assume that the random variable X is normally distributed, with mean = 50 and standard deviation = 7. Compute the following probabilities. Be sure to draw a normal curve with the area corresponding...
-
Consider a vertical, double-pane window for the conditions prescribed in Problem 9.96. That is, vertical panes at temperatures of T 1 = 22 and T 2 = - 20 C are separated by atmospheric air, and the...
-
A major responsibility of internal auditing is to: a. Install sound accounting, financial, and operating controls at reasonable cost. b. Determine the extent of compliance with established policies,...
-
Dalton Inc. produces and sells three products. Unit data concerning each product is shown below. The company has 2,000 hours of labor available to build inventory in anticipation of the company's...
-
1. This short CNN video provides the facts and significant details of Malcolm X influence and his death. In an essay, express your impressions and the key details of the biography that captured your...
-
1. Create and upload a histogram of the salary data for the city of Bell, where each bar width is about 50,000 US dollars. (Data for the histogram is at the bottom). a.) Is the distribution of the...
-
Show that the group defined by generators a,b and relations a 2 = e, b 3 = e is infinite and nonabelian.
-
Let p be prime and Ha subgroup of Z(p). (a) Every element of Z(p ) has finite order p n for some n 0. (b) If at least one element of H has order p k and no element of H has order greater than p k ,...
-
The Diversified Portfolio Corporation provides investment advice to customers. A condensed income statement for the year ended December 31, 2024, appears below The following balance sheet information...
-
China is experiencing inflationary pressures. How is this related to its exchange rate policy? Is its currencythe yuanundervalued or overvalued? Why has China raised its reserve requirements on...
-
What must a country with a fixed exchange rate do to hit its target for the exchange rate if its currency is undervalued? Overvalued? Is the country also able to pursue other goals with monetary...
-
Could a large decline in asset prices occur without prompting a financial crisis? Any examples?
-
Suppose that the real exchange value of the dollar in terms of the euro appreciates 10 percent. As a result, will the choice to a U.S. consumer be any different if this takes place through a nominal...
-
Why do mutual funds generally appeal more to retail investors than large investors?
-
Suppose that an ethane molecule, CH3CH3, is broken into two CH3 molecules in such a way that one :CH3 molecule retains the electron pair that was originally the one making up the CC bond. The other...
-
Should U.S. antidumping laws be stated in terms of average total costs or average variable costs?
-
If A, B are two events such that A = {older child is affected}, B = {younger child is affected}, then are the events A, B independent? Genetics Suppose that a disease is inherited via a dominant mode...
-
What is the probability that in a family with two children, both siblings are affected? Suppose that a disease is inherited via an autosomal recessive mode of inheritance. The implications of this...
-
What is the probability that exactly one sibling is affected? Suppose that a disease is inherited via an autosomal recessive mode of inheritance. The implications of this mode of inheritance are that...
-
Whats the case brief with Carpenter v. United States and the Supreme Court's extension of Fourth Amendment protection to cell phones and locations? What is the dissenting opinions of Justices...
-
There are two definitive paths to terrorism; the "top-down process" and the "bottom-up process" (CSIS, 2007, in your week three content folder). Unfortunately, due to certain laws, civil rights, and...
-
Question 1 a) What is meant by the term 'the rule of law'? b) What does it mean to say that the law (or a law) is weak because of a 'weak social contract'? c) What is communicative action and how can...
Study smarter with the SolutionInn App