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

Lü Gong; Cao Hong-ping; Guiyun Chen

doi:10.1142/s1005386713000552

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

Lü Gong Cao Hong-ping Guiyun Chen

Year: 2013 Journal: Algebra Colloquium Vol: 20 (04)Pages: 579-592 Publisher: World Scientific

DOI: 10.1142/s1005386713000552

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Abstract

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

Keywords:

Conjugacy class Mathematics Nilpotent Pure mathematics Nilpotent group Locally finite group Normal subgroup Central series Finite group Combinatorics Group (periodic table) Abelian group

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Finite Group Theory Research

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

graph theory and CDMA systems

Physical Sciences → Engineering → Electrical and Electronic Engineering

Coding theory and cryptography

Physical Sciences → Computer Science → Artificial Intelligence

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

Abstract

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Citation History

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