On the maximum number of subgroups of a finite group

Given a finite group R, we let Sub(R) denote the collection of all subgroups of R. We show that |Sub(R)|

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Bibliographic Details
Published in:Journal of algebra 2023-12, Vol.635, p.486-526
Main Authors: Fusari, Marco, Spiga, Pablo
Format: Article
Language:English
Subjects:
Number subgroups
Subgroup lattice
Upper bound
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Description
Summary:Given a finite group R, we let Sub(R) denote the collection of all subgroups of R. We show that |Sub(R)|
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2023.07.047