Consider the elements of the set Z12 = {0,1, 2, 3,.....,13}. Construct the Cayley tables for: Write down (i). the elements of the additive group mod 14 (ii). the elements of the multiplicative group mod 14 (iii). the inverse of each element in (ii).

Consider the elements of the set Z12 = {0,1, 2, 3,.....,13}. Construct the Cayley tables for: Write down (i). the elements of the additive group mod 14 (ii). the elements of the multiplicative group mod 14 (iii). the inverse of each element in (ii).

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.2: Properties Of Group Elements

Problem 20E: 20. Let and be elements of a group . Use mathematical induction to prove each of the following...

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Question

Consider the elements of the set Z12 = {0,1, 2, 3,.....,13}. Construct the Cayley tables for:

Write down
(i). the elements of the additive group mod 14
(ii). the elements of the multiplicative group mod 14
(iii). the inverse of each element in (ii).

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