A computer-free construction of the third group of Janko

DOI10.1006/jabr.1996.6954zbMath0879.20008OpenAlexW2047687810MaRDI QIDQ1360892

Barbara Baumeister

Publication date: 25 January 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6954

zbMATH Keywords

involutionsamalgams\(9\)-dimensional representations over \(\text{GF}(4)\)\(c_ 2c\)-geometriesembeddings in \(U_ 9(2)\)existence proof for \(J_ 3\)numbers of pointsuniversal completions

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Buildings and the geometry of diagrams (51E24) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Representations of sporadic groups (20C34)

Related Items (5)

Symmetric generation and existence of \(J_3:2\), the automorphism group of the third Janko group. ⋮ A method of Bender applied to groups of J 3-type ⋮ The Residually Weakly Primitive Geometries ofJ₃ ⋮ Wrapping polygons in polygons ⋮ A construction of the Held simple group

Cites Work

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• The existence of \(J_ 3\) and its embeddings in \(E_ 6\)
• On some extensions of generalized quadrangles of grid type
• Flag structures on Tits geometries
• A geometric construction of Janko's group \(J_ 3\).
• Dual linear extensions of generalised quadrangles
• Flag-transitive subgroups of Chevalley groups
• Two new sporadic semibiplanes related to \(M_{22}\)
• The multipliers of the simple groups of order 604,800 and 50, 232,960
• J ₃ <E ₆ (4) and M ₁₂ <E ₆ (5)
• Rectagraphs, Diagrams, and Suzuki's Sporadic Simple Group
• On Janko's Simple Group of Order 50,232,960

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