# Practice problem for Algebra I, B.Math

There are regular homework for this course.

1. Show that a group $G$ in which every element has order 1 or 2 is abelian.

2. Show that a group of order 6 is either isomorphic to $S_6$ or $\mathbb{Z}/6$.

### More problems from Dummit and Foote

4.1:1, 4, 8(a), 10
4.2:4, 8, 10, 14
4.3:5, 6, 8, 13, 19, 22, 30, 35
4.4:3, 5, 6, 12, 18
4.5:14, 16, 23, 25, 29(Use Prop 23), 32, 36, 39.
5.5:1, 6, 16, 18.
6.3:1, 2, 4.