Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2006; 43(4): 805-812

Printed December 1, 2006

Copyright © The Korean Mathematical Society.

Commutator length of solvable groups satisfying max-n

Mehri Akhavan-Malayeri

Alzahra University

Abstract

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In this paper we find a suitable bound for the number of commutators which is required to express every element of the derived group of a solvable group satisfying the maximal condition for normal subgroups. The precise formulas for expressing every element of the derived group to the minimal number of commutators are given.

Keywords: solvable group, max-n

MSC numbers: 20F16, 20F12

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