Tsunenobu Asai, Naoki Chigira, Takashi Niwasaki, Yugen Takegahara
January 3, 2013
Abstract. For a finite group A and for a finite group G on which A acts, the number of crossed homomorphisms from A to G is a multiple of provided that B is a normal subgroup of A such that is cyclic. We prove a character-theoretic version of this fact, which was inspired by a theorem of P. Hall.