1. Consider the group U(5). (a) What is |U(5)|? (b) For each a ∈ U(5), find |a|, < a >, and | < a > | 2. Consider the group Z6. (a) What is Z6? (b) For each a ∈ Z6, find |a|, < a >, and | < a > |.

1. Consider the group U(5). (a) What is |U(5)|? (b) For each a ∈ U(5), find |a|, < a >, and | < a > | 2. Consider the group Z6. (a) What is Z6? (b) For each a ∈ Z6, find |a|, < a >, and | < a > |.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.3: Subgroups

Problem 37E

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Question

1. Consider the group U(5).
(a) What is |U(5)|?
(b) For each a ∈ U(5), find |a|, < a >, and | < a > |

2. Consider the group Z6.
(a) What is Z6?
(b) For each a ∈ Z6, find |a|, < a >, and | < a > |.

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