Non-nilpotent subgroups of locally graded groups

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2015Embargo end date: 01 Dec 2014 English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Colloquium Mathematicum, volume 138, pages 145-148 (issn: 0010-1354, eissn: 1730-6302,

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Authors: Zarrin, Mohammad;

doi: 10.4064/cm138-1-9 , 10.48550/arxiv.1412.1675

arXiv: 1412.1675

Non-nilpotent subgroups of locally graded groups

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Abstract

In this paper, we show that a locally graded group with a finite number m of non-(nilpotent of class at most n) subgroups is (soluble of class at most [log2(n)] + m + 3)-by-(finite of order $\le$ m!). Also we show that the derived length of a soluble group with a finite number m of non-(nilpotent of class at most n) subgroups, is at most [log2(n)] + m + 1.

4 pages, to appear in Colloquium Mathematicum, 2015

Related Organizations

University of Kurdistan
Iran (Islamic Republic of)

Keywords

FOS: Mathematics, Group Theory (math.GR), 20E99, Mathematics - Group Theory

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