%A LI Ning-ying, GUO Ji-dong, HAI Jin-ke %T Number of homomorphisms between groups with Abel direct factors and finite groups %0 Journal Article %D 2019 %J JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) %R 10.6040/j.issn.1671-9352.0.2019.092 %P 59-62 %V 54 %N 12 %U {http://lxbwk.njournal.sdu.edu.cn/CN/abstract/article_3191.shtml} %8 %X Let H,G be finite group. If the subgroup A of H is an Abel direct factor of H, then the number of homomorphism from H to G is a multiple of the largest common factor of |A| and |G|. The famous T.Yoshidas theorem is generalized.