Groups with few non-nilpotent subgroups

Rolf Brandl

doi:10.1142/s0219498817501882

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Groups with few non-nilpotent subgroups

Rolf Brandl

Year: 2016 Journal: Journal of Algebra and Its Applications Vol: 16 (10)Pages: 1750188-1750188 Publisher: World Scientific

DOI: 10.1142/s0219498817501882

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Abstract

For a group [Formula: see text], let [Formula: see text] denote the number of conjugacy classes of non-nilpotent subgroups of [Formula: see text]. We classify all finite groups [Formula: see text] with [Formula: see text]

Keywords:

Mathematics Nilpotent Conjugacy class Nilpotent group Central series Combinatorics Pure mathematics Group (periodic table) Algebra over a field

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Finite Group Theory Research

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

Limits and Structures in Graph Theory

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

graph theory and CDMA systems

Physical Sciences → Engineering → Electrical and Electronic Engineering

Groups with few non-nilpotent subgroups

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