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2.2 Cayley table / Composition table 1. Build composition table for a group (< i > = {i,-1, -i, 1}, ×). i - is imaginary unit. 2. Build composition table for a symmetric group S3. 3. Build composition table for a group (Z15, x mod 15) (Hint: Z'15 is the set of elements with multiplicative inverses mod 15 (set of units in Z15)) 4. Build composition table for a dihedral group D4 (Hint: You might need read additional materials to solve this.)

2.2 Cayley table / Composition table 1. Build composition table for a group (< i > = {i,-1, -i, 1}, ×). i - is imaginary unit. 2. Build composition table for a symmetric group S3. 3. Build composition table for a group (Z15, x mod 15) (Hint: Z'15 is the set of elements with multiplicative inverses mod 15 (set of units in Z15)) 4. Build composition table for a dihedral group D4 (Hint: You might need read additional materials to solve this.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2.2 Please provide detailed solution with explanation and justification asap to get a upvote for Each part Please All parts please
Caylcy table / Composition table 1. Build composition table for a group (< i > = {i,–1, -i, 1}, ×). i - is imaginary unit. %3D 2. Build composition table for a symmetric group S3. 3. Build composition table for a group (Z*15, x mod 15) (Hint: Z° 15 - is the set of elements with multiplicative inverses mod 15 (set of units in Z15)) 4. Build composition table for a dihedral group D4 (Hint: You might need read additional materials to solve this.)
Transcribed Image Text:Caylcy table / Composition table 1. Build composition table for a group (< i > = {i,–1, -i, 1}, ×). i - is imaginary unit. %3D 2. Build composition table for a symmetric group S3. 3. Build composition table for a group (Z*15, x mod 15) (Hint: Z° 15 - is the set of elements with multiplicative inverses mod 15 (set of units in Z15)) 4. Build composition table for a dihedral group D4 (Hint: You might need read additional materials to solve this.)
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