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Paper detail

Majorana Algebra for the Hoffman-Singleton Graph

Majorana theory is an axiomatic tool introduced by A. A. Ivanov in 2009 for studying the Monster group M and its subgroups through the 196884-dimensional Conway-Griess-Norton algebra. The group U3(5) is the socle of the centralizer in M of a subgroup of order 25. The involutions of this U3(5)-subgroup are 2A-involutions in the Monster. Therefore, U3(5) possesses a Majorana representation based on the embedding in the Monster. We prove that this is the unique Majorana representation of U3(5), and calculate its dimension, which is 798.

preprint2022arXivOpen access
Andries E. BrouwerAlexander A. Ivanov
math.GR
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Andries E. BrouwerAlexander A. Ivanov

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