Question: Let G=GL(2, R) and H= {A = G | det (A)=3* | k = Z}, then His abelian subgroup His cyclic subgroup His normal

Let G=GL(2, R) and H= {A = G | det (A)=3* |

Let G=GL(2, R) and H= {A = G | det (A)=3* | k = Z}, then His abelian subgroup His cyclic subgroup His normal subgroup None of these

Step by Step Solution

★★★★★

3.41 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The detailed ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Module 01 Content Instructions You are a junior executive of a new cellular phone carrier called Technologies of the Future (TOF) that competes in the same market as Verizon Wireless, AT&T, and...

Q:

A vessel of 80 liters is filled with milk and water. 70% of milk and 30% of water is taken out of the vessel. It is found that the vessel is vacated by 55%, find the initial quantity of water. 1. 50...

Q:

A firm of readymade garments make both men's and women's shirt. Its profit average is 6% of sales. Its profits in men's shirt average 8% of sales and women's shirts comprise 60% of output. The...

Q:

A and B are partners with capitals of Rs. 10,000 and Rs. 20, 000 respectively and sharing profits equally. They admitted C as their third partner with one-fourth profits of the firm on the payment of...

Q:

Suppose that f and g are 1-1 and continuous on R. If f(0) = 2, g(l) = 2, f'(0) = , and g(1) = e, compute the following derivatives. a) (f-1)'(2) b) (g-1)'(2) c) (f-l g-l)(2)

Q:

81. Let S = {1, 2, ..., n} and suppose that A and B are, independently, equally likely to be any of the 2 n subsets (including the null set and S itself) of S. (a) Show that $$P(A \subset B) =...

Q:

Excel Hardware Budget Problem Note : This assignment does not require many Excel skills, but rather problem-solving skills. You dont have to know anything about computers to complete it. For this...

Q:

I NEED HELP WITH THIS PLEASE Background The company processes factory workers' payroll every 2 weeks. The factory workers record the number of hours worked (and job information) on attendance...

Q:

Question 1 0 /5 points The cost of preferred stock is computed the same as the: * @ pretax cost of debt. rate of return on an annuity. aftertax cost of debt. rate of return on a perpetuity. cost of...

Q:

. Question 11 B 2 pts 01 (D Details Let a ={;' 1, 2 it: and E =. Find a - b. . Question 12 B 4 pts 01 (D Details A 21-ft Ladder leans against a building so that the angle between the ground and the...

Q:

Question 4 Vectors v and w have magnitudes | | | =2 and | |w| | =11 and the angle between these vectors is 26 What is their dot product? (Give an answer accurate to two decimal places.) v . w...

Q:

Which of the following is a true statement about InternationalFinancial Reporting? Standards? A. They are not being applied anywhere in the world? yet, butsoon they will be. b. They are converging...

Q:

When training costs to enter a particular career increase, the equilibrium wage rate in that job market will _____ and the equilibrium quantity of labor in that labor market will _____. decrease,...

Q:

what is the x input in excel function = t . dist.rt

Q:

If a car is traveling westward with a constant speed of 20 m/s, what is the resultant force acting on it?

Q:

A passenger sitting in the rear of a bus claims that she was injured as the driver slammed on the brakes, causing a suitcase to come flying toward her from the front of the bus. If you were the judge...

Q:

(a) Write each vector in Fig. 1.37 in terms of the unit vectors I and j. (b) Use unit vectors to express the vector C, where C = 3.0M - 4.00B. (c) Find the magnitude and direction of C. A (3.60 m)...

Q:

Suppose the circuit in Fig. 7.40 has been connected for a long time when suddenly, at time t = 0, switch S is thrown, bypassing the battery. (a) What is the current at any subsequent time t?? (b)...

Q:

The figure shows a formed round-wire cantilever spring subjected to a varying force. The hardness tests made on 25 springs gave a minimum hardness of 380 Brinell. It is apparent from the mounting...

Q:

Observations are drawn from a bell-shaped distribution with a mean of 27 and a standard deviation of 3. Approximately what percentage of the observations fall between 24 and 30? Note: Round your...

Q:

Show that N is a maximal ideal in a ring R if and only if R/N is a simple ring, that is, it is nontrivial and has no proper nontrivial ideals. (Compare with Theorem 15.18.) Data from Theorem 15.18 M...

Q:

State whether the given function is a Euclidean norm for the given integral domain. The function for Z[x] given by (f(x)) = (the absolute value of the coefficient of the highest degree nonzero term...

Q:

In Exercise let R[x] have the ordering given by i. P low ii. P High as described in Example 25.2. In each case (i) and (ii), list the labels a, b, c, d, e of the given polynomials in an order...

Q:

In Year 1, Better Sleep Company began to receive complaints from physicians that patients were experiencing unexpected side effects from the company's sleep apnea drug. The company took the drug off...

Q:

What is the basis for determining compensation cost in an equity-settled share-based payment transaction with nonemployees? With employees?

Q:

Multiple Choice Questions 1. Halifax Corporation has a December 31 fiscal year-end. As of December 31, Year 1, the company has a debt covenant violation that results in a 10-year note payable to Nova...