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#26 Re: Help Me ! » abstract algebra problem(groups, rings) » 2010-01-08 09:19:42
wow! thank u veery much Jane&Ricky! but my knowledge from this is really poor 
Hint for #1:
Now show that .
(blushing) i only know (a)={a^n| n∈Z } ..could u pls show me how?
Ricky...about #2, i've been reading ..so, using 3rd Sy theorem (k*7+1 | |A8|) |A8|=20160 so..possibilities are for k=0,1,2,5,9,17,41,137 (i think so)
#27 Help Me ! » algebra(ideals) » 2010-01-07 10:09:47
- loida
- Replies: 9
a)Find all invertible elements in Z/10Z. Describe a group of invertible elements up to isomorphism. Find all classes associates in Z/10Z.
b)Find all maximal ideals of Z/10Z
c)Find all prime ideals of Z/10Z
d)Find all irreducible elements in Z/10Z
e)Find all prime elements in Z/10Z
pls help! 
#28 Help Me ! » abstract algebra problem(groups, rings) » 2010-01-07 09:06:05
- loida
- Replies: 8
i need help with few exercises.. if there is anyone willing to give a look, I will be grateful
1)prove that every finite subgroup of Q/Z is cyclic.
2)how many sylow 7-subgroups are in A8? ( i think 8, but i'm not sure how to prove it)
3)let R={a/b; a,b ∈ Z and b is not divisable by 11} Show that R is factorization domain. How many prime elements are in R up to associates (Elements a,b are said to be associates if a | b and b | a. ) ? How do ideals look like in R?
#29 Re: Help Me ! » Algebra problem » 2009-11-14 08:35:55
wow Scientia...you don't have a clue how much I'm thankful 
actually i haven't done my homework yet(blushing), but..you made it touchable for me 
i wish you the peace of God which transcends all understandings
#30 Re: Help Me ! » Algebra problem » 2009-11-14 03:15:10
tnx! 
#31 Help Me ! » Algebra problem » 2009-11-12 20:13:07
- loida
- Replies: 4
if anybody knows this, pls help...
1. determine a group of Aut((Z/2Z) ⊕ (Z/2Z)) (prove every statement)
2.show that cycle (of length n) is even permutation if and only if n is an odd number
3. G={a1, a2, ..., an } finite abelian group. Is it always (a1 a2 .... an)^2=e ?