Geodesic
Non-nilpotent subgroups of locally graded groups
Mohammad Zarrin1
1 Department of Mathematics University of Kurdistan P.O. Box 416 Sanandaj, Iran
Colloquium Mathematicum, Tome 138 (2015) no. 1, pp. 145-148 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $[\log_2n]+m+3$)-by-(finite of order $\leq m!$). We also 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 $[\log_2 n]+m+1$.
DOI : 10.4064/cm138-1-9
Keywords: locally graded group finite number non nilpotent class subgroups soluble class log by finite order leq derived length soluble group finite number non nilpotent class subgroups log

Mohammad Zarrin 1

1 Department of Mathematics University of Kurdistan P.O. Box 416 Sanandaj, Iran 
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Mohammad Zarrin. Non-nilpotent subgroups of locally graded groups. Colloquium Mathematicum, Tome 138 (2015) no. 1, pp. 145-148. doi: 10.4064/cm138-1-9

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