Abstract Algebra

MATH 330 : Spring 2023

Department of Mathematics - SUNY Geneseo
⇐ Back

Homework 10 - Homomorphisms

Due Date: May 12, 2023

Upload

Be sure to show enough work on how you arrived at your answers. When it doubt, it is best to show more work than to show none at all. Problems taken from Chapter 11 - Homomorphisms.

Problems

  1. Problem 2: Parts (b) and (e).
  2. Problem 4
  3. Problem 11: In other words, if \(\phi:G\rightarrow H\) is a homomorphism and \(G = \langle g\rangle \) then the value of \(\phi(x)\) is determined by \(\phi(g)\), for any \(x\in G\).