The character table of an eightdimensional orthogonal group
Author:
David C. Hunt
Journal:
Math. Comp. 28 (1974), 659660
MSC:
Primary 20C15; Secondary 20D05
MathSciNet review:
0369493
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Abstract: This paper describes the calculation of the character table of the 8dimensional 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 defined by B. Fischer [2]. The group also has an outer automorphism group of order 24, isomorphic to the symmetric group on 4 symbols.
 [1]
R. H. Dye, "The simple group of order and the associated geometry of triality," Proc. London Math. Soc. (3), v. 18, 1968, pp. 521562. MR 37 #1468. MR 0225877 (37:1468)
 [2]
B. Fischer, "Finite groups generated by 3transpositions. I," Invent. Math., v. 13, 1971, pp. 232246. MR 45 #3557. MR 0294487 (45:3557)
 [3]
D. C. Hunt, "Character tables of certain finite simple groups," Bull. Austral. Math. Soc., v. 5, 1971, pp. 142. MR 46 #1896. MR 0302753 (46:1896)
 [4]
G. E. Wall, "On the conjugacy classes in the unitary, symplectic and orthogonal groups," J. Austral. Math. Soc., v. 3, 1963, pp. 162. MR 27 #212. MR 0150210 (27:212)
 [1]
 R. H. Dye, "The simple group of order and the associated geometry of triality," Proc. London Math. Soc. (3), v. 18, 1968, pp. 521562. MR 37 #1468. MR 0225877 (37:1468)
 [2]
 B. Fischer, "Finite groups generated by 3transpositions. I," Invent. Math., v. 13, 1971, pp. 232246. MR 45 #3557. MR 0294487 (45:3557)
 [3]
 D. C. Hunt, "Character tables of certain finite simple groups," Bull. Austral. Math. Soc., v. 5, 1971, pp. 142. MR 46 #1896. MR 0302753 (46:1896)
 [4]
 G. E. Wall, "On the conjugacy classes in the unitary, symplectic and orthogonal groups," J. Austral. Math. Soc., v. 3, 1963, pp. 162. MR 27 #212. MR 0150210 (27:212)
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DOI:
http://dx.doi.org/10.1090/S00255718197403694935
PII:
S 00255718(1974)03694935
Article copyright:
© Copyright 1974
American Mathematical Society
