Prove that any subgroup H (of a group G) that has index 2 (i.e. only 2 cosets) must be normal in G

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.6: Quotient Groups
Problem 19E
icon
Related questions
Question

Prove that any subgroup H (of a group G) that has index 2 (i.e. only 2 cosets) must be normal in G.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer