Fusion systems on maximal class 3-groups of rank two revisited

DOI10.1090/PROC/14552zbMath1444.20013arXiv1809.01957OpenAlexW2963326038WikidataQ128462442 ScholiaQ128462442MaRDI QIDQ5233956

Christopher Parker, Jason Semeraro

Publication date: 9 September 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.01957

zbMATH Keywords

finite \(p\)-groupsfusion systems

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Finite nilpotent groups, (p)-groups (20D15) Computational methods for problems pertaining to group theory (20-08)

Related Items (4)

Groups of \(p\)-rank 2 containing an isolated element of order \(p\) ⋮ Proving a conjecture for fusion systems on a class of groups ⋮ Fusion systems on \(p\)-groups of sectional rank 3 ⋮ Algorithms for fusion systems with applications to 𝑝-groups of small order

Uses Software

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Cites Work

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• Trees of fusion systems
• Fusion systems containing pearls
• On p-groups of maximal class
• On a special class of \(p\)-groups
• The Magma algebra system. I: The user language
• Fusion systems over a Sylow \(p\)-subgroup of \(\mathrm{G}_2(p)\)
• Connected components of the category of elementary Abelian \(p\)-subgroups.
• On defects of characters and decomposition numbers
• Further evidence for conjectures in block theory.
• All 𝑝-local finite groups of rank two for odd prime 𝑝

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