Automorphisms of finite order of nilpotent groups IV
B.A.F. Wehrfritz
Queen Mary University of London, UK
![Automorphisms of finite order of nilpotent groups IV cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rsmup-volume-136.png&w=3840&q=90)
Abstract
Let be an automorphism of finite order of the nilpotent group of class and and positive integers with . Consider the two (not usually homomorphic) maps and of given by
We prove that the subgroups
of all have finite exponent bounded in terms of , and only. This yields alternative proofs of the theorem of [4] and its related bounds.
Cite this article
B.A.F. Wehrfritz, Automorphisms of finite order of nilpotent groups IV. Rend. Sem. Mat. Univ. Padova 136 (2016), pp. 61–68
DOI 10.4171/RSMUP/136-6