Groups of \(p\)-rank 2 containing an isolated element of order \(p\)

DOI10.1007/s00013-022-01703-7OpenAlexW4214712058MaRDI QIDQ2131236

Imke Toborg

Publication date: 25 April 2022

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-022-01703-7

zbMATH Keywords

finite groups\(p\)-ranklocal analysiscontrol of fusionisolated elements\(Z^*_p\)-theorem

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite simple groups and their classification (20D05)

Cites Work

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• Groups of prime power order. Vol. 1.
• The theory of finite groups. An introduction.
• Central elements in core-free groups
• The automorphism group of an extraspecial \(p\)-group
• Generalizations of Certain Elementary Theorems on p -Groups
• All 𝑝-local finite groups of rank two for odd prime 𝑝
• Toward the -theorem
• Fusion systems on maximal class 3-groups of rank two revisited
• Endliche Gruppen I

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