50.1K

Verified Solution

Question

Advance Math

Find all possible homomorphisms between Z and Z5.

Answer & Explanation Solved by verified expert
3.8 Ratings (547 Votes)
Answer A homomorphism Z Z5 is determined by 1 since n n 1 for every n Z Also for any a Z5 we can get a homomorphism Z Z5 taking 1 to a by sending n to the reduction mod 5 of an So there are Five homomorphisms Z    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