On the maximum number of subgroups of a finite group
Work
Year: 2023
Type: article
Abstract: Given a finite group R, we let Sub(R) denote the collection of all subgroups of R. We show that |Sub(R)|<c⋅|R|log2(|R|)4, where c<7.372 is an explicit absolute constant. This result is asymptotically... more
Source: Journal of Algebra
Authors Marco Fusari, Pablo Spiga
Institutions University of Pavia, University of Milano-Bicocca
Cites: 8
Cited by:
Related to: 10
FWCI:
Citation percentile (by year/subfield):
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Sustainable Development Goal Reduced inequalities
Open Access status: hybrid
APC paid (est): $3,020