As the title says I'm looking for reading suggestions for complex analysis. I'm a novice at the subject and looking to do some self study to bring myself up to a graduate level of understanding. I've been looking at some reviews on Amazon on such books, but I think I would rather hear your...
yes, just keep taking powers. The subgroup is cyclic so eventually you would end up with the identity element. As far as the size goes, by Lagrange's Theorem, it could be as big as S6 itself. Since that group has size 720, it could potentially be that large, although I doubt this particular...
With these type of symmetric groups, you take a power of an element by composing it with itself. Unfortunately I don't how to use latex else i could type up an example for you, you could google for such examples though.
Here's a start, but a bit lacking I think. The subsection titled "Elements"...
You could just take powers of the element. Since it is cyclic you would eventually compute all the elements in the subgroup. This approach could take a while.
There is a jump discontinuity with this piecewise function. Select an epsilon greater than 1, there will be no delta around x=1 such that |x-1|< delta that implies |f(x)-f(1)|< epsilon.
EDIT: Sorry, that should be select an epsilon less than 1...