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...
-
Art, an executive with Azure Corporation, plans to start a part-time business selling products on the Internet. He will devote about 15 hours each week to running the business. Arts salary from Azure...
-
Table B. 13 presents data on the thrust of a jet turbine engine and six candidate regressors. Use all possible regressions and the \(C_{p}\) criterion to find an appropriate regression model for...
-
For its fiscal year ending October 31, 2014, Douglas Corporation reports the following partial data shown below. Income before income taxes .........$550,000 Income tax expense (30% $410,000)...
-
- - (a) Represent the expression ((x + 2) 3) * (y (3+x)) - 5 using a binary tree. Write this expression in (b) prefix notation (doing a preorder traversal). (c) postfix notation (doing a postorder...
-
At December 31, 20X0, Oettinger Corporation, a premium kitchen cabinetmaker for the home remodeling industry, reported the following accounts receivable information on its year-end balance sheet:...
-
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 ,...
-
DSG international plc (www.DSGiplc.com), Best Buy, Circuit City, and RadioShack are competitors in the global marketplace. Key figures for DSG follow (in millions). Cash and equivalents . . . . . . ....
-
At \(t=0\), car A passes a milepost at constant speed \(v_{A}\), Car B passes the same milepost at constant speed \(v_{\mathrm{B}}>v_{\mathrm{A}}\) after a time interval \(\Delta t\) has elapsed. (a)...
-
You hold a puck at the top of an ice-covered ramp inclined at \(60^{\circ}\) with respect to the vertical. Your friend stands nearby on level ground and holds a ball at the same height \(h\) above...
-
Calculate the average speed for the runners in the following races: (a) \(100 \mathrm{~m}\) in \(9.84 \mathrm{~s}\), (b) \(200 \mathrm{~m}\) in \(19.32 \mathrm{~s}\), (c) \(400 \mathrm{~m}\) in...
-
A furniture mover is lifting a small safe by pulling on a rope threaded through the pulley system shown in Figure P2.81. (a) What is the ratio of the vertical distance the safe moves to the length of...
-
A particle moves in the \(x\) direction according to the equation \(x(t)=b t^{3}+c t^{2}+d\), where \(b=4.0 \mathrm{~m} / \mathrm{s}^{3}\), \(c=-10 \mathrm{~m} / \mathrm{s}^{2}\), and \(d=20...
-
Many Republicans look at Reagans policies in the early 1980s and assert that tax cuts pay for themselves. Thats wrongReagans rate cuts for the rich paid for themselves, but the tax cuts for the poor,...
-
An annual report of The Campbell Soup Company reported on its income statement $2.4 million as equity in earnings of affiliates. Journalize the entry that Campbell would have made to record this...
-
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...
-
What was your experience using searching techniques, databases, etc.? When you search, what are some of the techniques you find useful? What are some of your frustrations in using these databases?...
-
The demand for your college newspaper is 1800 copies per week if the paper is given a way free of charge, and the demand drops to 900 if the charge is $0.10 per copy. However, the university is...
-
An asset has a standard deviation of 15% and a market correlation of 0. What is the value of beta?
Study smarter with the SolutionInn App