Fusion systems containing pearls

DOI10.1016/j.jalgebra.2018.05.029zbMath1415.20009arXiv1710.07088OpenAlexW2963783128WikidataQ129673176 ScholiaQ129673176MaRDI QIDQ724272

Valentina Grazian

Publication date: 25 July 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07088

zbMATH Keywords

fusion systems\(p\)-groups of maximal nilpotency class\(p\)-groups of sectional rank at most 4\(Q d(p)\) groupselementary abelian essential subgroupextraspecial essential subgrouppearls

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)

Related Items (6)

Fusion systems on a Sylow \(p\)-subgroup of \(SU_4(p)\) ⋮ Fusion systems containing pearls ⋮ Fusion systems on a Sylow 3-subgroup of the McLaughlin group ⋮ Fusion systems on maximal class 3-groups of rank two revisited ⋮ Fusion systems on \(p\)-groups of sectional rank 3 ⋮ Algorithms for fusion systems with applications to 𝑝-groups of small order

Cites Work

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• Simple fusion systems over \(p\)-groups with abelian subgroup of index \(p\). I.
• Blocks of finite groups and their invariants.
• Fusion systems containing pearls
• On a special class of \(p\)-groups
• Groups of prime power order. Vol. 1.
• \(p\)-groups with maximal elementary Abelian subgroups of rank 2.
• On finite groups having self-centralizing 2-subgroups of small order
• Some further properties of soft subgroups
• The theory of finite groups. An introduction.
• Almost all generalized extraspecial \(p\)-groups are resistant
• Fusion systems over a Sylow \(p\)-subgroup of \(\mathrm{G}_2(p)\)
• Reduced fusion systems over \(p\)-groups with abelian subgroup of index \(p\). II
• Construction of 2-local finite groups of a type studied by Solomon and Benson
• The classification of \(p\)-local finite groups over the extraspecial group of order \(p^3\) and exponent \(p\).
• A family of fusion systems related to the groups \(\mathrm{Sp}_4(p^a)\) and \(\mathrm G_2(p^a)\).
• On \(p\)-stability in groups and fusion systems
• Frobenius categories.
• The automorphism group of an extraspecial \(p\)-group
• Fusion systems
• Recognizing SL2(q) in fusion systems
• All 𝑝-local finite groups of rank two for odd prime 𝑝
• Reduced fusion systems over 2-groups of sectional rank at most 4
• On Subgroups of p -Groups Having Soft Subgroups
• A Characteristic Subgroup of a p-Stable Group
• Endliche Gruppen I

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