【作者单位】1. Department of Science, Hebei University of Engineering, No. 199 Guangming Road, Handan, Hebei, 056038, P.R. China 2. Department of Mathematics, Taiyuan Normal University, No. 319 Daxue Road, Taiyuan, Shanxi, 030619, P.R. China 3. Department of Mathematics, Hubei University, No. 368 Youyi Road, Wuhan, Hubei, 430062, P.R. China
【年份】2016
【卷号】Vol.66 No.2
【页码】575-582
【ISSN】0011-4642
【关键词】polycyclic group regular automorphism surjectivity
【摘要】 n this paper, we study the structure of polycyclic groups admitting an automorphism of order four on the basis of Neumann’s result, and prove that if α is an automorphism of order four of a polycyclic group G and the map φ: G → G defined by g φ =...