Automorphisms of finite groups of bounded rank

Aner Shalev*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

Let G be a finite group admitting an automorphism α with m fixed points. Suppose every subgroup of G is r-generated. It is shown that (1)G has a characteristic soluble subgroup H whose index is bounded in terms of m and r, and (2) if the orders of α and G are coprime, then the derived length of H is also bounded in terms of m and r.

Original languageAmerican English
Pages (from-to)395-404
Number of pages10
JournalIsrael Journal of Mathematics
Volume82
Issue number1-3
DOIs
StatePublished - Jun 1993

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