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

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

Sayfa
153–171
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

🎯
Amaç & Hipotez:The sporadic simple group F i3510 Fischer's 3-transpositions.
📊
Temel Bulgular & Veri:In F isubgroups up to conjugacy as listed in theATLAS [10] and Wilson[31].
💡
Sonuç & Katkı: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].
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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].

🔖

Bu Makaleye Atıf Yap

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

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (16)

  1. F. Ali, Fischer-Clifford matrices for split and non-split group extensions, PhD Thesis, Uni- versity of Natal, Pietermaritzburg, 2001.
  2. F. Ali, The Fischer-Clifford matrices of a maximal subgroup of the sporadic simple group of Held, Algebra Colloq., 14 (2007), 135-142.
  3. F. Ali and J. Moori, The Fischer-Clifford matrices of a maximal subgroup of F i24, Represent. Theory 7 (2003), 300-321.
  4. F. Ali and J. Moori, Fischer-Clifford matrices of the group 2:Sp(2), Intl. J. Maths. Game Theory, and Algebra, 14 (2004), 101-121.
  5. F. Ali and J. Moori, Fischer-Clifford matrices and character table of the group 28:Sp(2), Intl. J. Maths. Game Theory, and Algebra, 14 (2004), 123-135.
  6. F. Ali and J. Moori, The Fischer-Clifford matrices and character table of a non-split group extension 2·U(2), Quaest. Math. 31 (2008), no. 1, 27-36.
  7. F. Ali and J. Moori, The Fischer-Clifford matrices and character table of a maximal subgroup of F i24, Algebra Colloq., 17 (2010), no. 3, 389-414.
  8. S. Ariki and K. Koike, A Hecke algebra ofZ/rZ o Snand construction of its irreducible representations, Adv. Math. 106(1994), 216-243. Wieb Bosma and John Cannon. Handbook of Magma functions, Department of Mathematics, University of Sydney, November 1994.
  9. J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson. An Atlas of Finite Groups, Oxford University Press, 1985.
  10. M. R. Darafsheh and A. Iranmanesh, Computation of the character table of affine groups using Fischer matrices, London Mathematical Society Lecture Note Series 211, Vol. 1, C. M. Campbell et al., Cambridge University Press (1995), 131 - 137. B. Fischer, Clifford - matrices, Progr. Math. 95, Michler G. O. and Ringel C. M. (eds), Birkhauser, Basel (1991), 1 - 16. B. Fischer, Character tables of maximal subgroups of sporadic simple groups -III, Preprint. D. Gorenstein, Finite Groups, Harper and Row Publishers, New York, 1968.
  11. B. Huppert, Character Theory of Finite Groups, Walter de Gruyter, Berlin, 1998.
  12. A. Iranmanesh, Fischer matrices of the affine groups, Southeast Asian Bull. Math. 25 (2001), no. 1, 121-128.
  13. I. M. Isaacs, Character Theory of Finite Groups, Academic Press, San Diego, 1976.
  14. C. Jansen, K. Lux, R. Parker and R. Wilson, An Atlas of Brauer Characters, London Mathematical Society Monographs New Series 11, Oxford University Press, Oxford, 1995.
  15. R. J. List, On the characters of 2n-.Sn, Arch. Math. 51 (1988), 118-124.
  16. R. J. List and I. M. I. Mahmoud, Fischer matrices for wreath products G w Sn, Arch. Math. 50 (1988), 3