Let G be an abelian group and K is a subset of G. if K is...

80.2K

Verified Solution

Question

Advance Math

Let G be an abelian group and K is a subset of G.

if K is a subgroup of G , show that G is finitely generated ifand only if both K and G/K are finitely generated.

Answer & Explanation Solved by verified expert
4.4 Ratings (793 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students