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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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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.
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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