The existence of \(J_ 3\) and its embeddings in \(E_ 6\)

DOI10.1007/BF00147344zbMath0703.20013OpenAlexW2913928285MaRDI QIDQ915852

Michael Aschbacher

Publication date: 1990

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00147344

zbMATH Keywords

embeddingsexistence proofsimple Chevalley groups of type \(E_ 6\)third sporadic group \(J_ 3\) of Janko

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Simple groups: sporadic groups (20D08) Finite simple groups and their classification (20D05)

Related Items (6)

Symmetric generation and existence of \(J_3:2\), the automorphism group of the third Janko group. ⋮ A computer-free construction of the third group of Janko ⋮ The maximal subgroups of the exceptional groups \(F_4(q)\), \(E_6(q)\) and \(^2\!E_6(q)\) and related almost simple groups ⋮ A method of Bender applied to groups of J 3-type ⋮ A 3-local characterization of \(Co_2\). ⋮ Projective planes, loops, and groups.

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