Answered: what will be the class equation of a…

what will be the class equation of a group of order 12? In general what steps do we follow to find class equation of group of order n?

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.4: Cosets Of A Subgroup

Problem 17E: Show that a group of order 4 either is cyclic or is isomorphic to the Klein four group e,a,b,ab=ba.

See similar textbooks

Related questions

Q: Evaluate 1 1 sin cos d de.

Q: The demand functions for two products are given below. P₁, P2, 91, and 92 are the prices (in…

A: As per the question, we are given the demand functions for two products, which show how the quantity…

Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

Q: O b) 5² (enx)'s dx :) (Z) !

Q: Sally plots (-4, π) on the polar plane. How does she proceed? Drag a phrase to each box to correctly…

Q: A contour map for a function f is shown. 8 5-4-3 7 10 5 6+ to 3 PO 74 C4₂ 16 00 10 23 Use the…

A: we need to find the approximate value of f(1,3) from the contour map.

Q: This

A: We use BFS and DFS to solve given question with each and every step.

Q: Explain why each ideal of Z90 is principal. Hence determine how many ideals Z90 has.

A: As per the question we have to explain why each ideal of ℤ90 is principal ideal. Then we have to…

Q: The acceleration a = the initial velocity v, and initial position of a body v(0) = 2, s(0) = −3.…

Q: Given the vector-valued function for curve C as r(t) = (3t², 8et, 2t), answer the following. (a)…

Q: What is the largest positive constant K such that if 0 <r < K, then A. 9 B. 8 C. 4 D. 1 E. 2 ∞r¹²…

Q: (2) Use the Laplace transform to solve the initial value problem: 2y″ − 3y′ – 2y = 4e¹, y(0) = 1,…

Q: Pls help ASAP

A: To Sketch: A graph of a function with the given information:f'(x)>0 when x<-2, and when…

Q: 3. Draw an approximate solution for the first order differential equation whose direction field is…

A: Given direction field with initial conditiony(0) = -1.8

Q: Using course notes, solve the congruence x³ + 3x² - 4 = 0(mod11²3²)

A: As per the question we are given the following congruence equation :x3 + 3x2 - 4 ≡ 0 mod 112×32…

Q: Consider the simplex tableau given below. S2 P 0 1 0 X₁ 1 3 -6 X2 3 X2 3 3 -2 16 (A) The pivot…

Q: For a population, the mean is 275 yards with a standard deviation of 73 yards. Determine the…

A: To determine the probability of a sample of 30 having a mean of 285 yards or lower, we can use the…

Q: The population in a town of 30,000 is growing by 10% per year. How long will it take the population…

Q: = 3. Consider the initial value problem y'= -ty, y(2) = e (Assume y > 0. Here e is the base of the…

A: Euler method to solve y' = f(t,y) with initial condition y(t0) = y0 is given by: Let h be uniform…

Q: 4. Solve 2 cos²x - cos x = 1, x = [0, 2π] for the exact values of x in radians or two decimal places…

Q: ind the extreme values of f(x,y)=xy subject to the constraint x² + y² he extrema are Use a comma to…

A: We have to find the extreme values of subject to the constraint Lets use Method of Lagrange's…

Q: What is the end behavior of f(x)? y 4677.75 4093.03 3508.31 2923.59 2338.88 1754.16 1169.44 584.77…

A: From the graph we see that when because for x 7 value of f(x) increasingAlso for x -8 , f(x)…

Q: two bees leaving an area in a straight path. Bee's 1 path: r1(t) = + t and Bee's 2 path: r2(s) =…

Q: Sketch the graph of each polar equation. Also, convert each into a rectangular coordinate equation.…

A: As per the guidelines, I am supposed to solve only three sub parts of the given questions.

Q: A theater manager graphed weekly profits as a function of the number of patrons and found that the…

Q: 3. Find the ideal formulation of the (2-dimensional) IP, whose feasible set consists of the…

Q: 4. Given the following function y = 0.75 log[-0.5 x + 1] -3 a) List the transformations that have…

A: The given function is .We have to find the transformation of the function from the parent function ,…

Q: 6) Let F(x,y,z) = and f(x,y,z)= || F(x,y,z)||. Show that V(Inf) = F/f².

Q: dT Newton's law of cooling states that the rate of change in the temperature T(t) of a body is…

Q: Evaluate by integration by parts x3 Jo √x² +1 So dx

Q: B 15 D 12 A Use the Brute-Force Algorithm to find the lowest-cost Hamilton circuit. For the first…

Q: Would a segment need to be drawn between v7 & v12? Those vertices don't appear to be of degree 5.

A: We have to determine whether we need to draw an extra edge between the vertices v7 and v12.Clearly…

Q: Given L₁: y = 1-t;teR and L₂: F (3,0,-1) + s(2,3,-1); s ER z = t a) Determine whether L₁ and L₂ are…

A: As you have mentioned I am solving #11

Q: (a) Let A be a nonnegative irreducible matrix such that rz ≤ Az, for some 0 ‡ z ≥ 0, where r = p(A).…

A: Given: A nonnegative irreducible matrix for some non-zero vector , where (the spectral radius of…

Q: Find the curvature of the curve r(t) = (-5t, -5t5, 5t³) at the point t = 2. Give your answer to 2…

Q: Consider the series 14+32+114+4+214+.... Does the series converge or diverge? Select answers from…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 3. Draw the region over which the sector r ≤ 1,0 ≤ 0 ≤ π/4 is…

A: Let us first draw the given region.then apply transformations one bye one.

Q: (5) Solve the initial value problem y”" + y = f(t); y(0) = 0, y′(0) = 1 where 1 if 0 π/2 f(t) =

Q: [17 2. Consider the matrix A = 8 2 -20 -9 -2 eigenvector w so that: (A-AI) W a. W = -141 -8 You can…

Q: Find the velocity vector v(t), given the acceleration vector a(t) (Use symbolic notation and…

A: We have to find the velocity Vector v(t), given the acceleration vector a(t) = 8 t2k and the initial…

Q: 8. Given that y₁ (t) = t is a solution to 1 y" - y² + y = 0 Use reduction of order to determine a…

Q: 2. (a) Let A = 0 0 2 0 0 1 200 0 0 7 0 0 00 0 9 20 4 0 0 1 0 Is A reducible? Justify your answer.…

Q: McKinnon's Machinery sets aside $4200.00 at the beginning of every three months in a fund to…

A: McKinnon's Machinery sets aside $4200.00 at the beginning of every three months in a fund to…

Q: 20% of the eggs at a stall are large, 25% of the remaining ones are medium and the rest are small.…

A: Given that20% of the eggs at a stall are large , 25 % of the remaining ones are medium and the rest…

Q: Show that the Fourier transform (Using the Fourier transform on R3 with the convention shown in the…

Q: Consider the IBVP for the PDE X>ost >0 Ut + 2 Ux=0; U (x₂0)=3> U(₂6) = 5 use the toplace transform…

A: Laplace transform:

Q: Which of the following values of x is a solution of the linear congruence ax = 18(mod n) given that…

Q: Evaluate the limit. lim e'i + (t + 7) 1-0 + 5t²k = Enter your answer in i, j, k form.

Q: Find the arc length (s) of the curve r(t) = (t + 2, 3t+3,5t+2) for -4 ≤t≤3 8 =

Q: 4) Find the solution of initial value problem Utt-4uzz = 0, ∞0 u (x,0) = x cos²x, u₁(x,0) =…

Question

100%

what will be the class equation of a group of order 12? In general what steps do we follow to find class equation of group of order n?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Step 1

Step 2: Step 2

Step 3: Step 3

Solution

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The alternating group A4 on 4 elements is the same as the group D4 of symmetries for a square. That is. A4=D4.
27. a. Show that a cyclic group of order has a cyclic group of order as a homomorphic image. b. Show that a cyclic group of order has a cyclic group of order as a homomorphic image.
Exercises 10. Find an isomorphism from the multiplicative group to the group with multiplication table in Figure . This group is known as the Klein four group. Figure Sec. 16. a. Prove that each of the following sets is a subgroup of , the general linear group of order over . Sec. 3. Let be the Klein four group with its multiplication table given in Figure . Figure Sec. 17. Show that a group of order either is cyclic or is isomorphic to the Klein four group . Sec. 16. Repeat Exercise with the quaternion group , the Klein four group , and defined by
3. Consider the group under addition. List all the elements of the subgroup, and state its order.
Show that a group of order 4 either is cyclic or is isomorphic to the Klein four group e,a,b,ab=ba.
9. Consider the octic group of Example 3. Find a subgroup of that has order and is a normal subgroup of . Find a subgroup of that has order and is not a normal subgroup of .
Exercises 8. Find an isomorphism from the group in Example of this section to the multiplicative group . Sec. 16. Prove that each of the following sets is a subgroup of , the general linear group of order over .