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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem
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Label each of the following statements as either true or false.

The identity element in a group G is its own inverse.

To determine

Whether the statement, “The identity element in a group G is its own inverse” is true or false.

Explanation

Explanation:

Let e be the identity element of a group G.

Let g=e1.

As, g is the inverse of e, g*e=e1*e=e

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