Category:Examples of Alternating Groups

From ProofWiki
Jump to navigation Jump to search

This category contains examples of Alternating Group.

Let $S_n$ denote the symmetric group on $n$ letters.

For any $\pi \in S_n$, let $\map \sgn \pi$ be the sign of $\pi$.


The kernel of the mapping $\sgn: S_n \to C_2$ is called the alternating group on $n$ letters and denoted $A_n$.

Subcategories

This category has only the following subcategory.

Pages in category "Examples of Alternating Groups"

The following 2 pages are in this category, out of 2 total.