- 期刊
QUASIFIELDS WITH IRREDUCIBLE NUCLEI
並列摘要
This article considers finite quasifields having a subgroup N of either the right or middle nucleus of Q which acts irreducibly as a group of linear transformations on Q as a vector space over its kernel. It is shown that Q is a generalized André system, an irregular nearfield, a Lüneburg exceptional quasifield of type R∗p or type F∗p, or one of four other possibilities having order 5^2, 5^2, 7^2, or 11^2, respectively. This result generalizes earlier work of Lüneburg and Ostrom characterizing generalized André systems, and it demonstrates the close similarity of the Lüneburg exceptional quasifields to the generalized André system.
延伸閱讀
- Huang, C. Y. (2010). Irreducible representations of GL2(Fq) and SL2(Fq). [master's thesis, National Tsing Hua University]. Airiti Library. https://doi.org/10.6843/NTHU.2010.00705
- Ross, A. L., Sanchez, M. I., & Grichnik, J. M. (2011). Molecular Nevogenesis. Dermatology Research and Practice, 2011(), 29-37. https://doi.org/10.1155/2011/463184
- KHAN, M. Z., & ZUBAIR, A. (2000). ON QUASI h-PURE SUBMODULES OF QTAG-MODULES. International Journal of Mathematics and Mathematical Sciences, 2000(), a493-499-162. https://doi.org/10.1155/S016117120000288X
- 何康潔（2000）。Nucleolin。當代醫學，(318)，277-279。https://doi.org/10.29941/MT.200004.0006
- 李嗣涔（2006）。Torsion Field and Qi。生命學報，(1)，15-26。https://doi.org/10.6408/JLS.200606.0015