๐”– Bobbio Scriptorium
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The minimal 5-representation of Lyons' sporadic group

โœ Scribed by Werner Meyer; Wolfram Neutsch; Richard Parker


Publisher
Springer
Year
1985
Tongue
English
Weight
474 KB
Volume
272
Category
Article
ISSN
0025-5831

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๐Ÿ“œ SIMILAR VOLUMES


A New Existence Proof for Ly, the Sporad
โœ Holger W. Gollan ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 227 KB

This paper reports on a new and independent existence proof for the sporadic simple group Ly of Lyons, using only two permutations of degree 9 606 125, computed by Cooperman, Finkelstein, Tselman, and York. We will show that these two permutations generate a group G Ly, by first computing a base and

Construction of a 45,694-dimensional sim
โœ Holger W Gollan; Gerhard O Michler ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 564 KB

It is shown that the 2-modular reduction ~0 of the smallest nontrivial, rational, absolutely irreducible character X of Lyons' sporadic simple group Ly is irreducible. Furthermore, an explicit 45,694-dimensional irreducible matrix representation of Ly over the field GF(2) with two elements is given.