In this paper the classification is given for finite groups in which the normalizer of every non-normal cyclic subgroup of order divided by the minimal prime of |G| is a maximal subgroup.
基金Supported by the Doctoral Scientific Research Foundation of Shanxi University of Finance and Economics(Grant No.Z18207)the National Natural Science Foundation of China(Grant Nos.11771271,11801334)the China Scholarship Council Foundation(Grant No.201908140049)。
文摘In this paper the classification is given for finite groups in which the normalizer of every non-normal cyclic subgroup of order divided by the minimal prime of |G| is a maximal subgroup.