Symmetric group

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/symmetric-group

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the mathematical classification?A fundamental example of a finite group in abstract algebra
2. How many ways can you rearrange three objects in S3?In S3 there are 3! = 6 different ways to arrange three objects.
3. Why do mathematicians use symmetric groups?They help us see how objects can be swapped and are the building blocks for many math topics, like solving equations and studying symmetry.

Bijection: A function that maps each element of a set to a unique element of another set, with no elements left over.
Function Composition: The process of applying one function after another, creating a new function from the combination.
Isomorphic: Having the same structure or form, even if the elements are different.