Recent content by mikki

Suppose that f: D-->R and g: R-->Y are two continuous transfromations, where D, R, and Y are subsets of the plane. Show that the composition g o f is a continuous transformation.

the polynomial ring over the integers mod 2: Z2[x]

have a question about finding the multiplication table of say Z2[X]/(x^3+x^2+x+1). What are the steps in solving problems like this? Because I keep doing different problems and I end up making a mistake. All I need is an example or an explanantion. Any help is greatly appreciated

But I did find a list of elements for part a that are isomorphic to D6 here's the list: {e, a, a^3, b}

Ok, so How do I start the prove that neither one is not isomorphic to D6.

Given the elements of D6 I'm supposed to state whether z2xz2 and/or Z4 is isomorphic to D6. If none, then I'm supposed to prove why they are not. Hope this is clearer. Isn't the list that I have right for D6?

The 6th dihedral group is as follows: D6={e, a, a^2, a^3, a^4, a^4, a^5, b, ab, a^2b, a^3b, a^4b, a^5b} where a^6=b^2=e abd ba^i for all i in Z. Now I need to show whether D6 is isomorphic to G: Here are G: G= Z2 X Z2 G=Z4 if they are isomorphic I need to list the elements if they...