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Journals / Hacettepe Journal of Mathematics and Statistics / 2014 / Cilt: 43 - Sayı: 2

The Fischer-Clifford matrices and character table of the split extension 2:S

Jamshid MOORİ
Faryad ALİ
Pages
153–171
Publication Date
2022-10-18
DOI
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⚡ TL;DR(Too Long; Didn't Read)

In the present article we compute the Fischer-Clifford matricesand hence character table of a subgroup of the smallest Fischer groupF i were carried out using the computer algebra systemsMAGMA [9] andGAP [29].

📌 3 Key Takeaways

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Objective & Hypothesis:The sporadic simple group F i3510 Fischer's 3-transpositions.
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Key Findings & Data:In F isubgroups up to conjugacy as listed in theATLAS [10] and Wilson[31].
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Conclusion & Impact:In the present article we compute the Fischer-Clifford matricesand hence character table of a subgroup of the smallest Fischer groupF i were carried out using the computer algebra systemsMAGMA [9] andGAP [29].
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The sporadic simple group F i3510 Fischer's 3-transpositions. In F isubgroups up to conjugacy as listed in theATLAS [10] and Wilson[31]. The group E = 2:Sp(2) is maximal subgroup of F i694980. In the present article we compute the Fischer-Clifford matricesand hence character table of a subgroup of the smallest Fischer groupF i were carried out using the computer algebra systemsMAGMA [9] andGAP [29].

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Cite This Article

MOORİ, J., ALİ, F. (2022). The Fischer-Clifford matrices and character table of the split extension 2:S. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 2, 153–171. https://ajindex.com/articles/530383

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References (16)

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