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 language | English |
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Pages (from-to) | 573-578 |
Number of pages | 6 |
Journal | Journal of Group Theory |
Volume | 20 |
Issue number | 3 |
Early online date | 28 Sept 2016 |
DOIs | |
Publication status | Published - 1 May 2017 |
ASJC Scopus subject areas
- Algebra and Number Theory