Order of product of two elements in group

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

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?

User Account

All Pages