Let G and G' be groups, and let H and H' be normal subgroups of G and
Question:
Let G and G' be groups, and let H and H' be normal subgroups of G and G', respectively. Let ∅ be a homomorphism of G into G'. Show that ∅ induces a natural homomorphism ∅* : (G/ H) → (G' / H') if ∅[HJ ⊆ H'.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (3 reviews)
For gH GH let gH gH Because we defined using the re...View the full answer
Answered By
Mugdha Sisodiya
My self Mugdha Sisodiya from Chhattisgarh India. I have completed my Bachelors degree in 2015 and My Master in Commerce degree in 2016. I am having expertise in Management, Cost and Finance Accounts. Further I have completed my Chartered Accountant and working as a Professional.
Since 2012 I am providing home tutions.
3.30+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Let g and h be real-valued functions defined on R for which «R g(x)dμ and «R h(x)dμ are finite, where μ is a (Ï-finite) measure in R. Then...
-
Show that if H and K are normal subgroups of a group G such that H K = {e}, then hk = kh for all h H and k K.
-
Let f: G H be a group homomorphism onto H. If G is abelian, prove that H is abelian.
-
On being heated with sulfur trioxide in sulfuric acid, 1, 2, 4, 5-tetramethylbenzene was converted to a product of molecular formula C10H14O3S in 94% yield. Suggest a reasonable structure for this...
-
What is the FASB Accounting Standards Codification? Why did the FASB undertake this project? How did it change GAAP? Prior to the Codification, what types of pronouncements comprised GAAP?
-
I found Asics based in Japan and Puma based in Germany Question - 1. Provide a "very brief" introduction BOTH THE COMPANIES selected 2. Discuss why you have chosen these companies.
-
How can CVP analysis help managers?
-
Suppose the U.S. supply and demand curves for automobiles cross at a price of $15,000 but (identical) automobiles can be purchased from abroad for $10,000. Now suppose the government offers a subsidy...
-
Data entry then versus now?
-
Below is a brief description of a design-&-build power plant project. The top (i.e. northern) half of the plant plot contains the evaporation pond and tanks for storage of fuel. The...
-
Prove that A n is simple for n 5, following the steps given. a. Show A n contains every 3-cycle if n 3. b. Show An is generated by the 3-cycles for n 3. c. Let r and s be fixed elements of {l, 2, ...
-
Give an example of a nontrivial homomorphism for the given groups, if an example exists. If no such homomorphism exists, explain why that is so. : Z S 3
-
Solve. Find exact solutions. x + 5x - 36 = 0
-
Why the artificial wetland system is characterized?
-
Why would the probability of an employer offering retiree health insurance increase with the number of employees for large firms over 300 workers. Support your answer with scholarly resources.
-
What laws can be put in place to help protect consumers as well as make them have more trust in the law process? What is an instance where you have seen the law fall short when it comes to...
-
can you write summary of chapter 4 - the emergence of modern price theory book- the history of economic ideas by BRANDON DUPONT write summary in about 600-1200 words
-
The owner of Joe's Pizza just found out that his delivery guy was arrested for dealing drugs out of the pizza delivery van. Joe wonders if he and his company could be held responsible for his...
-
(i) On the measurable space ((, A), define the function X as follows: where A1, A2 ( A. Examine whether or not X is a r.v. (ii) On the measurable space ((, A) with ( = {a, b, c, d} and A = {(, {a,...
-
For the following exercises, write the polynomial function that models the given situation. Consider the same rectangle of the preceding problem. Squares of 2x by 2x units are cut out of each corner....
-
1. Obtain the crude OR estimate, and provide a 95% CI for the crude OR? 2. Test the null hypothesis of no association between aspirin assignment and CVD? Cardiovascular Disease The Womens Health...
-
Evaluate whether age confounds the CVD aspirin relationship by using dummy variables for age categories; calculate the age-adjusted OR estimate and 95% CI? Cardiovascular Disease The Womens Health...
-
Evaluate whether age is an effect modifier of the relationship between aspirin and CVD? Cardiovascular Disease The Womens Health Study randomly assigned 39,876 initially healthy women ages 45 years...
-
2. Suppose you are the money manager of a $4 million investment fund. The fund consists of 4 stocks with the following investments and betas: Stock A B C D Investment Beta 400,000 1.50 600,000 -0.50...
-
A Risk Versus Reward Approach to Market Research Case study 1. What are the pros and cons of each of the three options under consideration? 2. Which option do you think will yield the most long-term...
-
How do power dynamics and hegemonic structures influence the construction and representation of identity narratives, and what strategies can individuals employ to resist or subvert dominant...
Study smarter with the SolutionInn App