Using the 11-point biplane and  L 2 ( 11 )  to understand  J 1

Horine, Thomas

Using the 11-point biplane and L 2 ( 11 ) to understand J 1

dc.contributor.author	Horine, Thomas
dc.date.accessioned	2022-08-24T12:48:02Z
dc.date.available	2022-08-24T12:48:02Z
dc.date.issued	2022-02
dc.description.abstract	In this paper, we use the 11-point biplane and its automorphisms in L2(11) to label and study the Livingstone graph (0) and J1, with an aim of using the simplest methods possible. We detail the action of J1 on 0, along with the adjacencies and coadjacencies (vertices at maximum distance) in 0. In the last section, we use this apparatus to describe the generation of subgroups of the form 23 : 7 : 3 and an elegant substructure of 0 fixed by a maximal subgroup of J1 isomorphic to 19 : 6.	en
dc.identifier.citation	Thomas L. Horine. "Using the 11-point biplane and L 2 ( 11 ) to understand J 1 ." Rocky Mountain J. Math. 52 (1) 105 - 126, February 2022. https://doi.org/10.1216/rmj.2022.52.105	en
dc.identifier.doi	https://doi.org/10.1216/rmj.2022.52.105
dc.identifier.uri	https://hdl.handle.net/2022/28104
dc.language.iso	en	en
dc.publisher	Rocky Mountain Mathematics Consortium	en
dc.relation.isversionof	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.short	en
dc.subject	sporadic groups	en
dc.subject	Livingstone graph	en
dc.subject	Janko group	en
dc.subject	Group theory	en
dc.title	Using the 11-point biplane and L 2 ( 11 ) to understand J 1	en
dc.type	Article	en

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