I just want to make sure my answer is correct
Questions: List all even permutations of symmetry group S4
Answer: There are 12 even permutations in S4
(1234)(1342)(1423)(2143)(3124)(4132)(2431)(2314)(4 213)(3241)(3412)(4321)
Please Help
I just want to make sure my answer is correct
Questions: List all even permutations of symmetry group S4
Answer: There are 12 even permutations in S4
(1234)(1342)(1423)(2143)(3124)(4132)(2431)(2314)(4 213)(3241)(3412)(4321)
Please Help
Rememeber that the cardinality of the finite 'alternating group" is .Originally Posted by mathlg
In this case thus,
Thus there are 12 even premutations.
For the second part, all the premutations you named are odd!
Because,
The number of transpositions here is an odd number!
Also, the premutation
Thus, there are two mistakes, first they are all odd
and not all are distinct-which basically means you did not list all the odd premutations.