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1. ### Abstract Algebra: Let N be a normal subgroup of G. Prove that G/N is abelian ?

...abelian. Let a,b be elements of G. aba^-1b^-1N = (abN) a^-1b^-1 = (baN) a^-1b^-1 = baa^-1b^-1 N = N Therefore...

2 Answers · Science & Mathematics · 17/11/2008

2. ### Number theory: can any irrational number be approximated as relatively good as desired?

... + 1)² <=> a².b²ⁿ⁻² - 2.abⁿ⁻¹ + 1 < 2.b²ⁿ < a²....

1 Answers · Science & Mathematics · 08/03/2010

3. ### proof help please for normal subgroup?

G / N is abelian iff aN bN = bN aN abN = baN ab(ba)^-1 is in N ab(ba)^-1 = aba^-1b^-1

1 Answers · Science & Mathematics · 19/04/2009

4. ### Prove this theorem on trapezoid and its median?

... Alternate Interior Angles Theorem. angle(ABN)≡angle(GCN) Vertical angles are congruent. angle...

9 Answers · Science & Mathematics · 04/04/2008

5. ### Suppose that N is a normal subgroup of a group G. Let H be a subgroup of the quotient group G/N.?

...)(bN) = a(Nb)N = a(bN)N = (ab)N = abN (abN)(cN) = ab(Nc)N = ab(cN)N = abcN...

1 Answers · Science & Mathematics · 20/04/2014

6. ### How do you draw the line that bisects the angle of two lines _that don't intersect on paper_ ?

... at B. [AB bisects ∠PAQ; ∠BAL = ∠ABN] Then select a point, D, on L₁, between A & L, and...

2 Answers · Science & Mathematics · 23/02/2013

7. ### Find the solution of dn/dt = 0.01n(0.05 - cos0.02t)?

... to read. let a = 0.01, b =0.05, and w = 0.02 so dn/dt = an(b - cos(wt)) = abn - an cos(wt) Re-arrange by multiplying both sides by dt and...

1 Answers · Science & Mathematics · 03/03/2014

8. ### For all integers a,b,c: if ab divides c, then a divides c and b divides c?

If ab | c, then there exists an integer n such that c = abn But also c = (bn)a = ka and c = (an)b = ma Therefore this directly implies a | c and b | c. You could also argue this through prime factorization and subsets.

2 Answers · Science & Mathematics · 19/10/2014

9. ### Linear Algebra Help Please!!!?

...where each bi is a column vector, then AB = [Ab1 Ab2 ... Abn]. If b2 = λb1 for some scalar λ, then AB = [Ab1 A(λ...

1 Answers · Science & Mathematics · 15/03/2008

10. ### Pts M & N are on sides AB & CB of △ABC so AM:MB=1:2 & BN:NC=2:3. Find ratio in which AN splits MC and MC splits AN.?

... and CN = (3/5)BC By similar Δs AMM’,ABN : MM’ = (1/3)BN = (2/15)BC … (i) But Δ...

1 Answers · Science & Mathematics · 14/06/2016

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