Suleiman, Ibrahim A. I.; Wilson, Robert A. Construction of the fourfold cover of the Mathieu group \(M_{22}\). (English) Zbl 0805.20014 Exp. Math. 2, No. 1, 11-14 (1993). Summary: We give an explicit construction for the two faithful, irreducible, 16- dimensional representations of \(4 \cdot M_{22}\) over the field \(\text{GF}(49)\). Then we extend them to the 32-dimensional representation of \(4 \cdot M_{22} : 2\) over \(\text{GF}(7)\). Explicit matrices are given. MSC: 20C34 Representations of sporadic groups Keywords:Mathieu group; faithful, irreducible, 16-dimensional representations PDF BibTeX XML Cite \textit{I. A. I. Suleiman} and \textit{R. A. Wilson}, Exp. Math. 2, No. 1, 11--14 (1993; Zbl 0805.20014) Full Text: DOI EuDML EMIS OpenURL References: [1] Burgoyne N., Nagoya Math. J. 27 pp 733– (1966) [2] Conway J. H., Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups (1985) · Zbl 0568.20001 [3] DOI: 10.1017/S0305004100052075 · Zbl 0321.05018 [4] DOI: 10.1016/0021-8693(82)90003-5 · Zbl 0479.20005 [5] Parker, R. A. ”The computer calculation of modular characters (The ’Meat-axe’)”. Symposium on Computational Group Theory. Edited by: Atkinson, M. D. pp.267–274. Orlando, FL: Academic Press. [Parker 1984] [6] Parker R. A., An Atlas of Modular Character Tables [7] DOI: 10.1016/S0747-7171(08)80075-2 · Zbl 0742.20018 [8] DOI: 10.1016/0021-8693(92)90244-G · Zbl 0783.20010 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.