# Show that if a group G with identity e has finite order n, then a n = e for all

## Question:

Show that if a group G with identity e has finite order n, then a^{n} = e for all a ∈ G.

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## Step by Step Answer:

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**Question Details**

Chapter #

**2**- PERMUTATIONS, COSETS, AND DIRECT PRODUCTSSection: Exercise 10

Problem: 40

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