Counting maximal chains of subgroups of finite nilpotent groups


Mirela StefănescuM. Tărnăuceanu


Abstract

carpathian_2009_25_1_119_127_abstract

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carpathian_2009_25_1_119_127

The main goal of our paper is to determine the total number of maximal chains of subgroups in a finite nilpotent group. This counting problem is reduced to finite pp-groups. Explicit formulas are obtained in some particular cases.