This preview shows page 1. Sign up to view the full content.
Unformatted text preview: H : K ]. [ Note: This equality is also true if G is innite and the subgroups are of nite index, but you dont have to prove that.] Exercise 8. Let G be a nite group and H G . Prove that if [ G : H ] is prime then H is maximal (c.f. Homework 3.3)....
View Full Document
This note was uploaded on 02/29/2012 for the course MATH 3362 taught by Professor Ryandaileda during the Spring '10 term at Trinity University.
- Spring '10