If N is a subgroup of an Abelian group, prove that is Abelian. N |

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.7: Direct Sums (optional)
Problem 13E: 13. Assume that are subgroups of the abelian group . Prove that if and only if is generated by...
icon
Related questions
icon
Concept explainers
Topic Video
Question

9) Solve it .

If N is a subgroup of an Abelian group, prove that
is Abelian.
N
Transcribed Image Text:If N is a subgroup of an Abelian group, prove that is Abelian. N
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Application of Algebra
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
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,