A new proof for the Erdős–Ko–Rado theorem for the alternating group.

Abstract: A subset of the alternating group on points is intersecting if for any pair of permutations in , there is an element such that . We prove if and is intersecting, then . Also, we prove that provided that , then the only sets that meet this bound are the cosets of the stabilizer of a point of . These two results were first proven by Ku and Wong (2007), the proof given in this paper uses an algebraic method that is very different from the original proof. [Copyright &y& Elsevier]