Non-empty subsets of group

Assignment Help Mathematics

Reference no: EM13123903

Let G be a group and H be a non-empty subset of G. We define H^2 as the set of elements of G which can be written in the form h_1 h_2, with h_1 ,h_2∈H.

Let H be finite. Prove that H is a subgroup if and only if H^2=H.

Reference no: EM13123903

Questions Cloud

Audit proceedures regarding management assertion : What were the limitations of the audit proceedures regarding management assertion of existence in the zzz best case?

Condition of system of equations : Which of the following can be solved by using a system of equations? Laura and Mark went to the movies and spent $29 on movie tickets and snacks. Mark paid $10 more than Laura. How much did each spend?

Using the appropriate interest table : What is the future value of $9,000 at the end of 5 periods at 8% compounded interest?

What is the speci?c heat capacity of the liquid : A 100 g sample of an unknown liquid absorbs 2000 J of heat energy, raising the liquid's temperature from 50 ?C to 70 ?C .What is the speci?c heat capacity of this liquid.

Non-empty subsets of group : Let G be a group and H be a non-empty subset of G. We define H^2 as the set of elements of G which can be written in the form h_1 h_2, with h_1 ,h_2∈H.

Probability of average for sample by distribution of costs : Assuming that the distribution of the costs is normal, what is the probability that the average for this sample is between $400 and $425?

What is total variable cost : What is total variable cost when 100 units of output are produced and what is average fixed cost when 150 units of output are produced?

Using the appropriate interest table : What is the future value of $9,000 at the end of 5 periods at 8% compounded interest?

Components of regression model : Describe the components of the regression model. What is an example of what X and Y can represent when we use this model in a health concept.

Reviews

Write a Review

Required(*) Message

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!

Submit Assignment

User Account

All Pages