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Finite Nilpotent Groups Having Exactly Four Conjugacy Classes of Non-normal Subgroups

Lü Gong

Department of Mathematics, Shanghai University, Shanghai 200444, China

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Hongping Cao

School of Mathematics and Statistics, Southwest University, Chongqing 400715, China

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, and

Guiyun Chen

School of Mathematics and Statistics, Southwest University, Chongqing 400715, China

Corresponding author.

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https://doi.org/10.1142/S1005386713000552Cited by:1 (Source: Crossref)

Abstract

Finite nilpotent groups having exactly four conjugacy classes of non-normal subgroups are classified.

Supported by the National Natural Science Foundation of China (10771172, 11271301) and the Natural Science Foundation Project of Chongqing (No CSTC, 2009BB8111).

Keywords:

AMSC: 20D10, 20E28, 20E34

Vol. 20, No. 04

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Received 14 April 2010

Revised 26 April 2011

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Finite Nilpotent Groups Having Exactly Four Conjugacy Classes of Non-normal Subgroups

Abstract

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