even permutation

even permutation

[¦ē·vən pər·myə′tā·shən]
(mathematics)
A permutation which may be represented as a result of an even number of transpositions.
References in periodicals archive ?
Then [sigma] [member of] [C.sub.n](123, 231,312) if and only if [sigma] is an even permutation which is not isolated.
Conversely suppose that [sigma] is an even permutation which is not isolated.
Instead of enumerating this set we compute the complementary one among even permutations [S.sup.e](n).
Theorem 3.1 The number of even permutations [s.sub.e](n) and the number of odd permutations [s.sub.o](n) in [S.sub.n](123, 231, 312) satisfy the following equations :
By the use of character table of S7 the following table of class coefficient reveals that only even permutations are involved in existence of D(2,3,5).