The character table of an eight-dimensional orthogonal group
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- by David C. Hunt PDF
- Math. Comp. 28 (1974), 659-660 Request permission
Abstract:
This paper describes the calculation of the character table of the 8-dimensional orthogonal group of maximal index over the field with 3 elements. The group is of interest as it is a subgroup of relatively small index in the sporadic simple group $M(23)$ defined by B. Fischer [2]. The group also has an outer automorphism group of order 24, isomorphic to the symmetric group on 4 symbols.References
- R. H. Dye, The simple group $FH(8,\,2)$ of order $2^{12}\cdot 3^{5}\cdot 5^{2}\cdot 7$ and the associated geometry of triality, Proc. London Math. Soc. (3) 18 (1968), 521โ562. MR 225877, DOI 10.1112/plms/s3-18.3.521
- Bernd Fischer, Finite groups generated by $3$-transpositions. I, Invent. Math. 13 (1971), 232โ246. MR 294487, DOI 10.1007/BF01404633
- David C. Hunt, Character tables of certain finite simple groups, Bull. Austral. Math. Soc. 5 (1971), 1โ42. MR 302753, DOI 10.1017/S0004972700046852
- G. E. Wall, On the conjugacy classes in the unitary, symplectic and orthogonal groups, J. Austral. Math. Soc. 3 (1963), 1โ62. MR 0150210
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Math. Comp. 28 (1974), 659-660
- MSC: Primary 20C15; Secondary 20D05
- DOI: https://doi.org/10.1090/S0025-5718-1974-0369493-5
- MathSciNet review: 0369493