Let N < S 4 consist of all those permutations such that (4) = 4. Is
Question:
Let N < S4 consist of all those permutations σ such that σ(4) = 4. Is N normal inS4?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (8 reviews)
Lets first define what it means for a subgroup to be normal in a group A subgroup H of a group G is ...View the full answer
Answered By
Saleem Abbas
Have worked in academic writing for an a years as my part-time job.
5.00+
1+ 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 cost of products and services consist of at least one or more of three elements of cost: Direct Materials, Direct Labor, and Manufacturing Overhead Costs. Direct materials consist of all those...
-
One class of permutations of the integers in the set S n = {0, 1, 2, . . . , 2 n 1} is defined by matrix multiplication over GF (2). For each integer x in S n , we view its binary representation as...
-
Read the case study "Southwest Airlines," found in Part 2 of your textbook. Review the "Guide to Case Analysis" found on pp. CA1 - CA11 of your textbook. (This guide follows the last case in the...
-
Administrative agencies, boards or commissions usually use registration or licensing to control business subject to the administrative law. True False
-
The birth weights of full-term babies are normally distributed with mean = 3400 grams and = 505 grams. (a) Draw a normal curve with the parameters labeled. (b) Shade the region that represents the...
-
Ketones react with acetylide ion (Section 8.7) to give alcohols. For example, the reaction of sodium acetylide with 2-hutanone yields 3-methyl-l-pentyn-3-ol: (a) Is the product chiral? Is it...
-
What are the major internal audit activities identified in the Institute of Internal Auditors' Statement of Responsibilities of Internal Auditors!
-
Entries for Available-for-Sale Securities assume the same information as in E17-3 except that the securities are classified as available-for-sale. The fair value of the bonds at December 31 of each...
-
Identify sources of accreditation and regulatory requirements for quality and risk management. Review the Joint Commission standards and identify the standards that pertain to quality and risk...
-
Complete the payroll register for this pay period and update the Employee Earnings Record form for each employee with the corresponding information. The Step-2 of Form W-4 is unchecked. The amount...
-
Let S be the set of all points (x,y) in the plane with y 0. Define an ordering by (x 1 ,Y 1 ) (x 2 ,Y 2 ) = x 1 = x 2 and Y 1 < Y 2 , Show that this is a partial ordering of S, and that S has...
-
Proof that The group defined by generators a, b and relations a 8 = b 2 a 4 = ab -1 ab = e has order at most 16.
-
Explain why the following statements are true: a. In a competitive leasing market, the annual operating lease payment equals the lessors equivalent annual cost. b. Operating leases are attractive to...
-
What is meant by disinflation? If the United States were experiencing disinflation, what would you conclude about the relationship between actual output (aggregate demand) and potential output...
-
Who selects the boards of directors of Federal Reserve Banks? What are the principal responsibilities of those boards?
-
Why do you think securitization of commercial mortgages is less developed than for home mortgages?
-
If actual output currently is equal to potential output and inflation is not a concern, should aggregate demand be stable or growing over the next couple years? What would be the implications of...
-
Why do you suppose that all major mutual fund complexes offer investors a fund that replicates the S&P 500? Why would investors be interested in such a fund if they were seeking to buy the market?
-
Two molecules, each with the general formula AX3, have different dipole moments. Molecule Y has a dipole moment of zero, whereas molecule Z has a nonzero dipole moment. From this information, what...
-
Discrete sample spaces: suppose there are N cable cars in San Francisco, numbered sequentially from 1 to N. You see a cable car at random; it is numbered 203. You wish to estimate N. (See Goodman,...
-
What is the sensitivity of the test? Mental Health The Chinese Mini-Mental Status Test (CMMS) consists of 114 items intended to identify people with Alzheimers disease and senile dementia among...
-
What is the specificity of the test? Mental Health The Chinese Mini-Mental Status Test (CMMS) consists of 114 items intended to identify people with Alzheimers disease and senile dementia among...
-
The cutoff value of 20 on the CMMS used to identify people with dementia is arbitrary. Suppose we consider changing the cutoff. What are the sensitivity and specificity if cutoffs of 5, 10, 15, 20,...
-
4. Jupiter has a lot of moons. Here are the periods and distances of the Galilean moons, which were discovered in 1610: moon distance (thousands of km) period (days) lo 421.8 1.77 Europa 671.1 3.55...
-
Amy and Brian were investigating the acquisition of a tax accounting business, Bottom Line Incorporated (BLI). As part of their discussions with the sole shareholder of the corporation, Ernesto...
-
Write f(x)=3+5-x2 as the composition of two functions.
Study smarter with the SolutionInn App