A method of Bender applied to groups of J 3-type

DOI10.1515/JGT.2008.049zbMath1163.20006OpenAlexW2080236959MaRDI QIDQ3544294

Barbara Baumeister

Publication date: 5 December 2008

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2008.049

zbMATH Keywords

sporadic simple groupscentralizers of involutionsuniqueness proofexistence proof\(p\)-local structuresBender methodgroups of \(J_3\)-typeJanko sporadic simple group \(J_3\)

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite simple groups and their classification (20D05)

Cites Work

• Symmetric generation and existence of \(J_3:2\), the automorphism group of the third Janko group.
• The existence of \(J_ 3\) and its embeddings in \(E_ 6\)
• A trilinear form for the third Janko group
• A geometric construction of Janko's group \(J_ 3\).
• A computer-free construction of the third group of Janko
• On Janko's Simple Group of Order 50,232,960

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