Powerfully solvable and powerfully simple groups

Iker de las Heras, Gunnar Traustason

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We introduce the notion of a powerfully solvable group. These are powerful groups possessing an abelian series of a special kind. These groups include in particular the class of powerfully nilpotent groups. We will also see that for a certain rich class of powerful groups we can naturally introduce the term powerfully simple group and prove a Jordan-Hölder type theorem that justifies the term.

Original languageEnglish
Article number106714
JournalJournal of Pure and Applied Algebra
Issue number8
Early online date19 Feb 2021
Publication statusPublished - 31 Aug 2021

ASJC Scopus subject areas

  • Algebra and Number Theory


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