QI// Let (H, *) be a normal subgroup of the group (G, *) and we define: G/H={a*H: a E G} and we define on G/H by: (a*H) O (b*H)=(a*b)*H. Prove that (G/H, ® ) is a group.
QI// Let (H, *) be a normal subgroup of the group (G, *) and we define: G/H={a*H: a E G} and we define on G/H by: (a*H) O (b*H)=(a*b)*H. Prove that (G/H, ® ) is a group.
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 21E
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,