Question
this is an exercise from Alperin, page 26 exercise 11.
thank you in advance for help and explanstions.
11. We say that an extension E of N by H is a split extension if there is a homomorphism t: HE (called a splitting map for th
0 0
Add a comment Improve this question Transcribed image text
Answer #1


2 N· うに /N ㅠ (거 )っ イX

Add a comment
Know the answer?
Add Answer to:
This is an exercise from Alperin, page 26 exercise 11. thank you in advance for help and explanst...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Q3 (Due Wednesday 11 September—Week 7) Let (G, *) and (N,) be groups. Suppose that g...

    Q3 (Due Wednesday 11 September—Week 7) Let (G, *) and (N,) be groups. Suppose that g Ha, is a homomorphism from from G to Aut(N)—that is, suppose that a, o ah = agh for all g, h E G. Let N a G denote the set N X G, and define a binary operation • on N a G by (m, g) + (a, b) = (m + ag(m), g * h). (1) Prove that (N a G, is a...

  • That h(mn ) h ( m)n, h ( ) and that if m < n then h ( m ) < n ( n ) = . Exercise 2.7.4. [Used in ...

    that h(mn ) h ( m)n, h ( ) and that if m < n then h ( m ) < n ( n ) = . Exercise 2.7.4. [Used in Theorem 2.7.1.] Complete the missing part of Step 3 of the proof of Theorem 2.7.1. That is, prove that k is surjective. Exercise 2.7.5. [Used in Theorem 2.7.1.] Let Ri and R2 be ordered fields that satisf We were unable to transcribe this imageWe were unable to transcribe this...

  • Let M be a 8:27 AM right R-module, N be an (R,T)-bimodule, and L be a...

    Let M be a 8:27 AM right R-module, N be an (R,T)-bimodule, and L be a left T-module. Let e: (MN)* L M R (NB, L) be given by e (moon, e) = m (nol). Let m.con, mone MORN, and lEl. Prove e (lm, BR.) + (m₂ Ore), d)= e(m, on, d) + (mon, e). This is the proof I'm working on. I need to show the map I've defined (and which is defined towards the middle of the proof)...

  • please provide me with full working solution. Any help is appreciated. thank you in advance Consider the diffusion equation, au(x,t u(x,t) Here u(x,t) > 0 is the concentration of some diffusing...

    please provide me with full working solution. Any help is appreciated. thank you in advance Consider the diffusion equation, au(x,t u(x,t) Here u(x,t) > 0 is the concentration of some diffusing substance, the spatial variable is x, time is t and D is a constant called the diffusivity with dimensions [LT-11. We will consider the diffusion equation on a finite spatial domain (0<x< 1) and an infinite time horizon (t > 0). To solve the diffusion equation we must include...

  • Thank you and I appreciate your help and time in advance! L = N (l/4), N...

    Thank you and I appreciate your help and time in advance! L = N (l/4), N = 1, 3, 5 …                                                                 (1) Where L is the length of the air column and N is an odd integer. When N = 1, the column has a length one quarter of wavelength with a node at the water surface and an antinode at the opening. Then the wavelength L1= (1/4) l, or l= 4L1.                                                                       (2) When N = 3, with...

  • Please solve the exercise 3.20 . Thank you for your help ! ⠀ Review. Let M...

    Please solve the exercise 3.20 . Thank you for your help ! ⠀ Review. Let M be a o-algebra on a set X and u be a measure on M. Furthermore, let PL(X, M) be the set of all nonnegative M-measurable functions. For f E PL(X, M), the lower unsigned Lebesgue integral is defined by f du sup dμ. O<<f geSL+(X,M) Here, SL+(X, M) stands the set of all step functions with nonnegative co- efficients. Especially, if f e Sl+(X,...

  • Please help me! And answer answers A through F! Thank you in advance. Chapter 3, Section...

    Please help me! And answer answers A through F! Thank you in advance. Chapter 3, Section 3, Exercise 087 Brain Hippocampal Size A recent study examined the relationship between football playing and hippocampal volume, in PL, in the brain. We use the n = 25 participants in the control group to estimate average brain hippocampus volume for all non-football playing people. Use the dotplats in the figure below to answer the following questions. . 6000 6500 . . . 7000...

  • I need help with exercise #2. Your help will be really appreciated and rated. MAXWELL'S EQUATION...

    I need help with exercise #2. Your help will be really appreciated and rated. MAXWELL'S EQUATION I. Maxwell's Equation: Our first (of mony) distribution functions. Very important A. The "Maxwell-Boltzman speed distribution" gives the speed distribution, fiv), of particles confined to NN()d, which a volume, V, and in thermal equilibrium at a temperature, T. () is the number of particles moving within dv of a speed, v Distributions of this type can be considered as the product of three terms...

  • Hi,. the question is below: Help if you can.. Here is some background information/ an example:...

    Hi,. the question is below: Help if you can.. Here is some background information/ an example: 9. Let k-Color be the following problem. Input: An undirected graph G. Question: Can the vertices of G be colored using k distinct colors, so that every pair of adjacent vertices are colored differently? Suppose that you were given a polynomial time algorithm for (k + 1)-Color. Use it to give a polynomial algorithm for k-Color. This means that you need to provide a...

  • Need Help from an expert. with correct answers. Thank you. All is only one question #12....

    Need Help from an expert. with correct answers. Thank you. All is only one question #12. 12. - POINTS BBUNDERSTAT128.3.009. MY NOTES ASK YOUR TEACHER Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT