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Prove that the intersection of any two subgroups of a group ia s again a subgroup?
Let H and I be subgroups of G. A group B is a subgroup of a group A if and only if every member of B is a member of A. Thus, every member of H is a member of G, and every member of I is a member of G.
The intersection of two groups A and B is the set of things that are members of both A and B. Hence, if a group C is equivalent to the intersection of A and B, then everything that is a member of both A and B is a member of C, and everything that is a member of C is a member of both A and B.
Hence, everything that is a member of the intersection of H and I is a member of H. We established above that every member of H is a member of G. Thus, everything that is a member of the intersection of H and I is a member of G.
Recall that A group B is a subgroup of a group A if and only if every member of B is a member of A. Hence, if everything that is a member of the intersection of H and I is a member of G, then the intersection of H and I is a subgroup of G, and so the intersection of H and I is indeed a subgroup of G.
What else can I help you with?
Can a notary public notarize a family member's document in Wisconsin?
All states have varying requirements for their Notaries Public. Whether or not it is legally permissable or not, the appearance of impropriety is something else again. If anything the Notary notarized might become controversial down the line, it could prove to be a problem.
What are the release dates for On Again Off Again Finnegan - 1914?
On Again Off Again Finnegan - 1914 was released on: USA: 14 October 1914
When was Do It Again - film - created?
Do It Again - film - was created in 2009.
What prove Harry Potter was th owner of number 12 grimmaulds place?
Sirius's will . Following Sirius's death in 1996, the Order temporarily vacated the building for fear that its ownership had passed to his cousin, Bellatrix Lestrange; however, it soon proved that Sirius had successfully left the house to Harry Potter in his will, and with his blessing the Order moved back in once again
Which movie do you seen again and again?
Movies that you love and will never get bored of
What does history prove again and again?
That people learn nothing from history.
How do you prove to my boyfriend that i won't do mistakes anymore to get together again?
You have to get him to trust you again. This takes time.
What changes should Canada make to improve its political system?
The governerment will have to prove that the parties are honourable again, instead of lying, and cheating, they are going to have to make some big events to prove that we can trust them again, and also prove that they want to do things for the better of our country, not just for their own needs! Start fundraisers and such and things that will PROVE that they can get their act together, and focus on our country, rather than their own selfish needs.
When three cars stop at an intersection who goes first?
first the car on the right side then the left then the right again. p.s think about things sometimes ;)
Before entering an intersection the what is the safest searching process?
You should always look for a yield sign, or oncoming traffic.
What does the king of England have to do to prove himself in The Crowning of Arthur.?
He had to pull the sword from the stone, then Arthur had to keep doing it again and again to proves to other leaders that he was the King.
How do you find intersection points on TI84 calculator?
Graph the two lines or equations you want to find the intersection of. Then adjust the window so that you can see the intersection point. (If you don't know where it is, try pressing ZOOM and choosing ZoomFit.) Then press 2ND CALC (above TRACE) and choose option 5, intersect. Use the up and down arrows to select the first equation you want to find the intersection point on, and press ENTER. Do the same thing for the second equation. The calculator will now say "Guess?". Use the left and right arrows to move the x-like shape as close to the intersection point as possible, then press ENTER. The calculator will tell you the intersection point and the bottom of the screen. If you get a NO SIGN CHNG error, then it might be because the intersection point is not on the screen. Change the window so that you can see the intersection point and try again. Also, make sure that your guess is somewhat close to the intersection point.
Will Jeff hardy turn into a heel?
no he will not jeff loves the fans and there's no prove that he will turn heel again
How did the cro-magnon die?
They didn't. Cro-Magnons were early modern humans. We are descended from them.
How do you prove to the love of your life that you will never touch her again?
Actions speak louder than words; don't touch her.
Can a relationship last after lies?
It depends what the lie was and how willing you are to prove you'll never do something like that again.
How do you answer a guy when he says prove that you miss me?
tell him when you two are apart your heart weaps. Answer It's difficult to prove to someone that you miss them if you cannot see them in person but you can tell him that you think about him all the time, that you cannot wait to see him again, that your life is not the same without him in it, that some days you miss him so much that your heart aches and you are filled with sadness. Then tell him you'll prove how much you missed him when you see him again. :-)
