TL;DR
This paper presents a new highly symmetric geometric construction of the Lyons sporadic simple group using Kantor's geometry, providing elementary proofs for its existence and minimal representation over a finite field.
Contribution
It introduces a novel geometric approach to construct Lyons' group and its minimal representation, simplifying the existence proofs.
Findings
Elementary existence proof for Lyons' group
Construction of Lyons' minimal representation over ^{111}
New geometric perspective on sporadic groups
Abstract
Based on Kantor's geometry, we give a new Highly symmetric construction of Lyons' sporadic simple group via its minimal representation over , thus obtaining elementary existence proofs for both the group and the representation at one stroke.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models