hw24 - n is a binary operation on N n . b. For the n from...

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Intro to Abstract Math Homework 24 Fall 2009 Due November 9 Exercise 69. Write out the Cayley tables for ( Z 2 , + 2 ), ( Z 3 , + 3 ) and ( Z 4 , + 4 ). Exercise 70. Let n N , n 2. a. Let a Z n . Show that if x · n a = x for all x Z n , then a = 1. b. Show that ( Z n , · n ) is never a group. Exercise 71. Let n N and n 2. Let N n = Z n - { 0 } . a. For n = 2 , 3 , 4 , 5 , 6, determine if
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Unformatted text preview: n is a binary operation on N n . b. For the n from part a for which n is a binary operation on N n , write out the Cayley table for ( N n , n ). c. Is ( N n , n ) a group for each of the n you used in part b ?...
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This note was uploaded on 02/29/2012 for the course MATH 3326 taught by Professor Ryandaileda during the Fall '09 term at Trinity University.

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