Abstract
Janko’s large simple sporadic group J 4 was originally constructed by Benson, Conway, Norton, Parker and Thackray as a subgroup of the general linear group GL 112(2) of all invertible 112 × 112-matrices over the field GF(2) with 2 elements, see [1] and [13]. So far the construction of the 112-dimensional 2-modular irreducible representation of J 4 is only described in Benson’s thesis [1] at Cambridge University. Furthermore, its proof is very involved.
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Cooperman, G.D., Lempken, W., Michler, G.O., Weller, M. (1999). A new Existence Proof of Janko’s Simple Group J 4 . In: Dräxler, P., Ringel, C.M., Michler, G.O. (eds) Computational Methods for Representations of Groups and Algebras. Progress in Mathematics, vol 173. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8716-8_8
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DOI: https://doi.org/10.1007/978-3-0348-8716-8_8
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