Determine whether the set forms a group with respect to the given operation. (You may assume the operation is associative.) If the set does not form a group, determine which properties fail. (Select all that apply.) {1, 2, 3, 4}; multiplication modulo 5 The set forms a group. The closure property fails. The associative property fails. The identity property fails. The inverse property fails.

Determine whether the set forms a group with respect to the given operation. (You may assume the operation is associative.) If the set does not form a group, determine which properties fail. (Select all that apply.) {1, 2, 3, 4}; multiplication modulo 5 The set forms a group. The closure property fails. The associative property fails. The identity property fails. The inverse property fails.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.4: Cyclic Groups

Problem 3E: Exercises 3. Find the order of each element of the group in Example of section. Example 3. We...

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