Using the 11-point biplane and \(L_2(11)\) to understand \(J_1\)

DOI10.1216/RMJ.2022.52.105OpenAlexW4224282824MaRDI QIDQ2136362

Thomas L. Horine

Publication date: 10 May 2022

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-52/issue-1/Using-the-11-point-biplane-and-L211-to-understand-J1/10.1216/rmj.2022.52.105.full

zbMATH Keywords

sporadic groupsgroup theoryLivingstone graphJanko group

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Uses Software

• ATLAS Group Representations

Cites Work

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• A new finite simple group with abelian Sylow 2-subgroups and its characterization
• On a permutation representation of the Janko group
• The Fabulous (11, 5, 2) Biplane
• Is J ¹ a Subgroup of the Monster?
• A NEW FINITE SIMPLE GROUP WITH ABELIAN 2-SYLOW SUBGROUPS

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