Alternating Group
The alternating group is , the subgroup of all even permutations in .
Definition 8.17 (Alternating Group)
The subgroup
is called the alternating group on elements. i.e. it is the set of all even permutations in .
Example
In ,
Related
Stated in
- Definition 8.17 (Alternating Group)§8.2 Transpositions and the Sign Homomorphism