Order of product of two elements in group

Assignment Help Mathematics
Reference no: EM13131781

Let G be a group (finite or infinite) and let a and b in G. Let o(a) represent the order of a.

Suppose G is abelian and both a and b are of finite order. Show that ab is of finite order and o(ab) divides o(a)o(b).

Reference no: EM13131781

Questions Cloud

Explain important information about buffers : An unknown compound X, is thought to have a carboxyl group with a pka of 2.0 and another ionizable group with a pka between 5 and 8. When 75 ml of 0.1 M NaOH was added to 100 ml of a 0.1 m solution of X at pH 2.0, the pH increased to 6.72.
Compute the profit for each policy : Deductible with a $580 premium. (A $Y deductible means the insurance company pays X - Y for X >= Y and X for X
Average storage bin usage for various inventories : Average storage bin usage for various inventories was estimated to be 200 per day. The costs and cost drivers were determined to be as follows:
How many grams of nh3 can be produced : At a temperature of 395*C and a pressure of 705 mmHg, how many grams of NH3 can be produced when 3.80 L of NO2 react?
Order of product of two elements in group : Let G be a group (finite or infinite) and let a and b in G. Let o(a) represent the order of a. Suppose G is abelian and both a and b are of finite order. Show that ab is of finite order and o(ab) divides o(a)o(b).
Paper on movies : Please watch one of the following movies and then use it as the basis for your paper (see instructions in your syllabus and under Contents)1 )Mean Girls 2)Breakfast Club
Paper on movies : Please watch one of the following movies and then use it as the basis for your paper (see instructions in your syllabus and under Contents)1 )Mean Girls 2)Breakfast Club
Calculate the mole fraction. : An aqueous antifreeze solution is 55.5% ethylene glycol by mass. the density of the solution is 1.071 g/cm3. calculate the molality. calculate the molarity. calculate the mole fraction.
Find the probability that car will get mileage in a range : A new car that runs on electricity and gasoline is advertised as getting 65 mpg with a standard deviation of 6.9. If you test drive a car, what is the probability that it will get between 50 and 75 mpg?

Reviews

Write a Review

Mathematics Questions & Answers

  Find the probability that exactly 2 will be defective

FInd the probability that exactly 2 will be defective

  Fractions and rational expressions

Show the similarities between dividing two fractions and dividing two rational expressions using examples of each; Explain your steps.

  Fractions-decimals for graders

NCTM math standards to include learning goals & objectives, a lesson plan to include differentiation of instruction to address the diverse needs of students and problem solving strategies plus informal and formal assessments that align with object..

  Find the p value & explain its meaning

A recent study reported that college students study for an average of four hours per day. You believe this figure is too large & you decide to conduct your own test.  Find the p value & explain its meaning.

  Instantaneous velocity and acceleration

A ski jump is design to follow the path given by the equations: x=3.5t^2 and y=20.0+0.120t^4 - 3.00 sqrt(t^4+1) (0 less than or equal to (t) less than or equal to 4.00 s) ( x and y in m, t in s). Find the velocity and acceleration of a skier when ..

  Conic surfaces and surface integrals

Let S be the conic surface z = 3 sqrt (x^2 + y^2), where z is greater than or equal to 0 and less than or equal to 3. Find (double integral over S) z dS.

  Spherical coordinates-electrical charge

An electric charge is distributed throughout 3-space with density inversely proportional to the distance from the origin. Show that the total charge inside a sphere of radius R is proportional to R^2.

  Detailed explanation of matrices

Matrices are the most common and effective way to solve systems of linear equations. However, not all systems of linear equations have unique solutions. Before spending time trying to solve a system, it is important to establish whether it in fact..

  Description of systems of linear equations

Investments. William opened two investment accounts for his grandson's college fund. The first year, these investments, which totaled $18,000, yielded $831 in simple interest. Part of the money was invested at 5.5% and the rest at 4%. How much was..

  Determining range of tip

Brian and Hayden go out for dinner and the bill comes to $120.00. Hayden usually tips more than 20% of the bill and Brian usually tips at most 25% of the bill.

  Probability of player a or player b getting the score

If Player A gets to throw 2 darts and Player B gets to throw 5 darts, how do you calculate the probability of Player A or Player B getting the highest total score?

  Computing linear algebra-vector spaces

Consider R2 with the following rules of multiplications and additions: For each x=(x1,x2), y=(y1,y2): Is it a vector space, if not demonstrate which axioms fail to hold.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd