Docsity
Log inSign up
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search Store documents

The best documents sold by students who completed their studies

Search through all study resources
Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

University Rankings

Discover the best universities in your country according to Docsity users

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

From our blog

Exams and Study
Go to the blog

Math 411 Spring 2009 Problem Set: Subgroups and Quotient Groups in K20 - Prof. Paul Howard, Assignments of Abstract Algebra

Eastern Michigan University (EMU)Abstract Algebra
Prof. Paul Howard

Problems related to subgroups and quotient groups in the group k20, whose elements are the positive integers between 1 and 20 that are coprime to 20. Students are asked to find the elements of k20, identify the subgroups ⟨3⟩ and ⟨9⟩, list the quotient groups k20/⟨3⟩ and k20/⟨9⟩, and determine the indices [k20 : ⟨3⟩] and [k20 : ⟨9⟩].

Typology: Assignments

Pre 2010

Uploaded on 09/17/2009

koofers-user-bpn
koofers-user-bpn 🇺🇸

10 documents

1 / 1

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Math 411 Spring 2009 May 11 Problems
Recall that K20 is the group whose elements are the positive integers i, such that 1 ≤i≤19 and gcd(i, 20) = 1
with the operation ×20.
1. List the elements of K20.
2. What are the subgroups h3iand h9i?
3. List the quotient groups K20/h3iand K20h9i.
4. What are [K20 :h3i] and [K20 :h9i]?

Partial preview of the text

Download Math 411 Spring 2009 Problem Set: Subgroups and Quotient Groups in K20 - Prof. Paul Howard and more Assignments Abstract Algebra in PDF only on Docsity!

Math 411 Spring 2009 May 11 Problems

Recall that K 20 is the group whose elements are the positive integers i, such that 1 ≤ i ≤ 19 and gcd(i, 20) = 1 with the operation × 20.

  1. List the elements of K 20.
  2. What are the subgroups 〈 3 〉 and 〈 9 〉?
  3. List the quotient groups K 20 /〈 3 〉 and K 20 〈 9 〉.
  4. What are [K 20 : 〈 3 〉] and [K 20 : 〈 9 〉]?