# cuti3panda

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1. ## Help!!

1)Let G be an Abelian group and let H={g in G/ IgI divides 12}. Prove that H is a subgroup of G. Is there anything special about 12 here? Would your proof be valid if 12 were replaced by some other positive integer? State the general result? 2) Find a collection of distint subgroup <a1>, <a2>,.....,<an> of Z240 with the proberty that <a1> C <a2> C.....C <an> with n as large as possible. if you have time, drop me a line anyone!!!
2. ## Help!

thanks a lot haggy!
3. ## Help!

Hi Dave, i've been done exactly wat you tried to show me above, but my professor mark it wrong, he took my 10 pts out, that's so sad Here is wat i got: (ab)^-1=a^-1b^-1 for every a,b are in G then b^-1a^-1=a^-1b^-1 for every a,b are in G Mutiplying both side by abon the left: e=aba^-1b^-1 Mutilplying by right: ba=ab since this is true for every a,b are in G, G is Abelian, if G are in Abelien, then (ab)^-1=a^-1b^-1 fore very a,b are in G. give me some hints Dave, thanks a lot
4. ## Help!

In a group, prove that (ab)^-1=b^-1a^-1. Find an example thats hows that it is possible to have (ab)-2=/=b^-2a^-2 Find distinct monidentity element a and b from a non-Abelian group with the property that (ab)-1=a^-1b^-1. Draw an analogy between the statement (ab)^-1=b^-1a^-1 and the act of putting on and taking off your sock and shoes (shock and shoes property). anyone help pls!
5. ## Math Help

-y^2-z^2=1.......from this equation, is it a circle or what?? help me anyone!!
6. ## abstract algebra need help please!

thanks again, matt grime!
7. ## abstract algebra help please!

Thanks a lot, matt grime
8. ## Discrete Math: Completely Worthless?

If you can't handle discrete math, then stop studying math buddy, cuz you have to take abstract Alg. after you finished dis. math. U must know about dis. math is the base of abs. alg. I'm taking Abs. alg. so, i know how hard it is...you need to watch out.
9. ## abstract algebra need help please!

Matt Grime, would you plz give me more detail about the problem above! it's due on thursday, help me plz....thanks a lot
10. ## abstract algebra need help please!

Bottle caps that are pried off typically have 22 ridges around the rim. Find the symmetry group of such a cap. Please help me this problem, thanks a lot!
11. ## abstract algebra help please!

I can't figure out these problem, if you think it's easy so plzz...help me out with this...thanks a lot
12. ## abstract algebra help please!

-------------------------------------------------------------------------------- These questions are relative to Equivalence Relations.... Question[1]..Let S be the set of real number. If a,b exist in S, define a~b if a-b is an interger. Show that ~is an equivalence relation on S. Describe the equivalence classes of S. Question[2]... Let S be the set of intergers. If a,b exist in S, define aRb if ab>=0. Is R an equivalence relation on S? Question[3].. Let S be the set of interfers. If a,b exist in S, define aRb if a+b is even. Prove that R is an equivalence relation and dete
13. ## abstract algebra help please!

this problem is due on wedd. , i hope you guys will help me out with this.... In the cut "As" from Songs in the Key of Life, Stevie Wonder mentions the equation 8 x 8 x 8 x 8 = 4. Find all integers n for which this statement is true, molulo n. thanks alot for your help......
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