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A New Existence Proof for Ly, the Sporadic Simple Group of R. Lyons

✍ Scribed by Holger W. Gollan

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
227 KB
Volume
31
Category
Article
ISSN
0747-7171

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✦ Synopsis

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 strong generating set for G, and then checking the two hypotheses for Ly from Lyons' original paper. Moreover, this produces a new presentation for Ly.

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