Symmetric generation and existence of \(J_3:2\), the automorphism group of the third Janko group.

DOI10.1016/j.jalgebra.2005.09.046zbMath1127.20013OpenAlexW2023140547MaRDI QIDQ853914

J. D. Bradley, Robert T. Curtis

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.09.046

zbMATH Keywords

conjugacy classespresentationsautomorphism groupsexistence proofJanko group \(J_3\)

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Simple groups: sporadic groups (20D08) Generators, relations, and presentations of groups (20F05) Software, source code, etc. for problems pertaining to group theory (20-04) Representations of sporadic groups (20C34)

Related Items (2)

A method of Bender applied to groups of J 3-type ⋮ Symmetric generation of M₂₂

Uses Software

• Magma

Cites Work

• Unnamed Item
• The existence of \(J_ 3\) and its embeddings in \(E_ 6\)
• A geometric construction of Janko's group \(J_ 3\).
• Symmetric generation of the Higman-Sims group
• A computer-free construction of the third group of Janko
• J ₃ <E ₆ (4) and M ₁₂ <E ₆ (5)
• Symmetric generation and existence of the Janko group <I>J</I>1
• Double coset enumeration of symmetrically generated groups
• On Janko's Simple Group of Order 50,232,960

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