Non-nilpotent subgroups of locally graded groups

Mohammad Zarrin

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arXiv · 1412.1675

Non-nilpotent subgroups of locally graded groups

Mohammad Zarrin

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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.

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BibTeX RIS

Mohammad Zarrin. 2014-12-04. Non-nilpotent subgroups of locally graded groups. https://arxiv.org/abs/1412.1675

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