Alternating Group

🅟 Mar 18, 2026

  🅤 Mar 18, 2026

DEF-ALT. Alternating Group.

The alternating group of degree $n$ ($n\in\N^+$) is the subgroup of $\SS_n$

\[\AA_n = \{\sigma\in\SS_n : \par\sigma=1 \}.\]