Fusion Systems on Bicyclic 2-Groups

DOI10.1017/S0013091515000334zbMath1396.20020arXiv1206.2962OpenAlexW2963341228WikidataQ58940258 ScholiaQ58940258MaRDI QIDQ2976324

Benjamin Sambale

Publication date: 28 April 2017

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

Full work available at URL: https://arxiv.org/abs/1206.2962

zbMATH Keywords

fusion systemsOlsson's conjecturebicyclic 2-groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) 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 (2)

Saturated fusion systems over \(\mathcal {A}_2\)-groups ⋮ Blocks with the hyperfocal subgroup \(\mathbb{Z}_{2^n}\times\mathbb{Z}_{2^n}\)

Cites Work

• A note on Olsson's conjecture.
• 2-blocks with minimal nonabelian defect groups.
• On the number of characters in a block
• Finite 2-groups with exactly one nonmetacyclic maximal subgroup.
• On 2-groups of small rank admitting an automorphism of order 3
• On 2-blocks with wreathed defect groups
• On \(p\)-nilpotent forcing groups
• Further evidence for conjectures in block theory.
• Simple fusion systems and the Solomon 2-local groups.
• Das ``schiefe Produkt in der Gruppentheorie mit Anwendung auf die endlichen nichtkommutativen Gruppen mit lauter kommutativen echten Untergruppen und die Ordnungszahlen, zu denen nur kommutative Gruppen gehören
• Über das Produkt von paarweise vertauschbaren zyklischen Gruppen
• Fusion systems on small 𝑝-groups
• Sur les groupes factorisables par deux $2$-groupes cycliques, I. (cas oú leur groupe des commutateurs est cyclique)
• CONTROL OF FUSION IN FUSION SYSTEMS
• Saturated fusion systems over $2$-groups
• Endliche Gruppen I

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