Classifying Groups With a Small Number of Subgroups

DOI10.1080/00029890.2022.2010493OpenAlexW4207061827MaRDI QIDQ5067481

David A. Nash, Alexander Betz

Publication date: 1 April 2022

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.11315

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Subgroup theorems; subgroup growth (20E07)

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Ein Beweis für die Existenz der Sylowgruppen
• Finite non-cyclic \(p\)-groups whose number of subgroups is minimal
• On a Property Motivated by Groups with a Specified Number of Subgroups
• On Subgroups of Prime Index
• Groups Which Contain Less Than Ten Proper Subgroups
• Groups Which Contain Less Than Fourteen Proper Subgroups

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