Israel Journal of Mathematics

, Volume 129, Issue 1, pp 209–220 | Cite as

Finite groups of bounded rank with an almost regular automorphism



In this paper we prove that any finite group of rankr, with an automorphism whose centralizer hasm points, has a characteristic soluble subgroup of (m, r)-bounded index andr-bounded derived length. This result gives a positive answer to a problem raised by E. I. Khukhro and A. Shalev (see also Problem 13.56 from the “Kourovka Notebook” [Kou]).


Finite Group Maximal Lattice Injective Morphism Characteristic Subgroup Embed Subgroup 
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Copyright information

© Hebrew University 2002

Authors and Affiliations

  1. 1.Departmento de Matemáticas, Facultad de CienciasUniversidad Autónoma de Madrid, Cantoblanco Ciudad UniversitariaMadridSpain

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