The 5-modular decomposition numbers of the two simple Fischer groups Fi22 and Fi23, and also those of the two maximal subgroups 2. Fi22 and O8+(3).S3 of Fi23 are determined. In AIL appendix Thomas Breuer comments on his construction of the ordinary character tables of the groups 2(2). U6(2) and O8+(3).S3, which occur as maximal subgroups of 2.Fi22 respectively Fi23. The results were obtained with the help of the computer algebra systems MOC [4] and GAP [10].
机构:
Al Imam Mohammad Ibn Saud Islamic Univ IMSIU, Fac Sci, Dept Math & Stat, Riyadh 11623, Saudi ArabiaAl Imam Mohammad Ibn Saud Islamic Univ IMSIU, Fac Sci, Dept Math & Stat, Riyadh 11623, Saudi Arabia
Ali, Faryad
Al-Kadhi, Mohammed A.
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机构:
Al Imam Mohammad Ibn Saud Islamic Univ IMSIU, Fac Sci, Dept Math & Stat, Riyadh 11623, Saudi ArabiaAl Imam Mohammad Ibn Saud Islamic Univ IMSIU, Fac Sci, Dept Math & Stat, Riyadh 11623, Saudi Arabia
Al-Kadhi, Mohammed A.
[J].
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS,
2019,
42
(02):
: 229
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238