3. Let G = Z20 and H =<5>, a. Find the index of H in G. b. List the elements of G/H. Construct a Cayley Table for G/H d. Find the order of the elements 3+<5> and 14+<5> e. Is G/H cyclic? Justify.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 48E
Question
3. Let G = Z20 and H =<5>,
a. Find the index of H in G.
b. List the elements of G/H.
Construct a Cayley Table for G/H
d. Find the order of the elements 3+<5> and 14+<5>
e.
Is G/H cyclic? Justify.
Transcribed Image Text:3. Let G = Z20 and H =<5>, a. Find the index of H in G. b. List the elements of G/H. Construct a Cayley Table for G/H d. Find the order of the elements 3+<5> and 14+<5> e. Is G/H cyclic? Justify.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning