Non-nilpotent subgroups of locally graded groups

• Autorzy: Mohammad Zarrin
• Języki publikacji: EN

Abstrakty

EN

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 [log₂n] + m + 3)-by-(finite of order ≤ 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 [log₂ n] + m + 1.

Kategorie tematyczne

• 20E99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 138
• Numer: 1
• Strony: 145-148

Daty

wydano

2015

Twórcy

autor

Mohammad Zarrin

• Department of Mathematics, University of Kurdistan, P.O. Box 416, Sanandaj, Iran

Identyfikatory

DOI

10.4064/cm138-1-9