Dihedral group homomorphisms

Let D4 be the dihedral group of order 4....

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ma6.pdf
modern_abstract_algebra-1.pdf
modern_abstract_algebra-2.pdf

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Solution Summary

This provides an example of finding group homomorphisms for dihedral groups.

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Israel Kovner, PhD

Rating 5.0/5

Active since 2005

MSc, Gorkiy State, Gorkiy, Russia

PhD, The Weizmann Institute, Rehovot, Israel

Responses 1086

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"Hi, this is the program I have written. It works, provided you use something like 0.0000001 and 0.9999999 as limits. The result is exactly pi squared / 6 to five decimal places. Could you have a look and tell me if there is a better formulation? (I mean, programming style and so on). Thanks. /* Numerical evaluation of the integral from 0 to infinity of x/(exp(x)-1) with the trapezoidal rule*/ #include #include float f(float); float a; float b; float x; float h; float sum; int n; int i; int main() { printf("Enter value for a: "); scanf("%f", &a); printf("Enter value for b: "); scanf("%f", &b); printf("Enter number of intervals: "); scanf("%d", &n); h = (b - a) / n; sum = (0.5 * h) * (f(a) + f(b)); for (i = 1; i < n; i++) { sum = sum + h * f(a + (i * h)); } printf("The value of the integral is: %f\n", sum); } float f(float x) { float value; value = -(9*x*x*log(x))/(1-x*x*x); /* function is defined here */ return value; }"