Unipotent automorphisms of solvable groups

Orazio Puglisi, Gunnar Traustason

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Let G be a solvable group and H a solvable subgroup of Aut. (G) whose elements are n-unipotent. When H is finitely generated, we show that it stabilizes a finite series in G and conclude that H is nilpotent. If G furthermore has a characteristic series with torsion-free factors. the same conclusion as above holds without the extra assumption that H is finitely generated.

Original languageEnglish
Pages (from-to)573-578
Number of pages6
JournalJournal of Group Theory
Volume20
Issue number3
Early online date28 Sep 2016
DOIs
Publication statusPublished - 1 May 2017

ASJC Scopus subject areas

  • Algebra and Number Theory

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