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  1. NTU Theses and Dissertations Repository
  2. 理學院
  3. 數學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/34067
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dc.contributor.advisor康明昌(Ming-Chang Kang)
dc.contributor.authorMeng-Gen Tsaien
dc.contributor.author蔡孟根zh_TW
dc.date.accessioned2021-06-13T05:53:15Z-
dc.date.available2006-07-20
dc.date.copyright2006-07-20
dc.date.issued2006
dc.date.submitted2006-07-03
dc.identifier.citationibitem{AM}
M. F. Atiyah and I. G. Macdonald, Introduction to Commutative Algebra. Addison-Wesley, Reading, Mass. 1969.
ibitem{Be}
D. J. Benson, Polynomial Invariants of Finite Groups. London Math. Soc. Lecture Series 190, Camb. Univ. Press, Cambridge 1993.
ibitem{Bl}
H. F. Blichfeldt, Finite Collineation Groups. The Univ. Chicago Press, Chicago 1917.
ibitem{Di}
L. E. Dickson, Linear Groups with an Exposition of the Galois Field Theory. Leibzig: Teubner 1901 (New York: Dover Publ. 1958).
ibitem{La}
S. Lang, Algebra. Revised 3rd edition, Springer-Verlag, New York, 2002.
ibitem{Ig}
V F Ignatenko, On invariants of finite groups generated by reflections. Math. USSR Sbornik, 1984, 48 (2), 551--563.
ibitem{KM1}
G. Kemper and G. Malle, The finite irreducible linear groups with polynomial ring of invariants. Transform. Groups 2 (1997), no. 1, 57--89.
ibitem{KM2}
G. Kemper and G. Malle, Invariant fields of finite irreducible reflection groups. Math. Ann. 315 (1999), no. 4, 569--586.
ibitem{ShTo}
G. C. Shephard and J. A. Todd, Finite unitary reflection groups. Canadian J. Math. 6, (1954). 274--304.
ibitem{Sp}
T. A. Springer, Invariant Theory. Lecture Notes in Math. 585, Springer-Verlag, Heidelberg, Berlin 1977.
ibitem{Su}
M. Suzuki, Group Theory I. Die Grundlehren der Mathematischen Wissenschaften, Band 247. Berlin: Springer-Verlag 1982.
ibitem{Wi}
C. Wilkerson, A primer on the Dickson invariants. Proceedings of the Northwestern Homotopy Theory Conference
(Evanston, Ill., 1982), 421--434, Contemp. Math., 19, Amer. Math. Soc., Providence, RI, 1983.
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/34067-
dc.description.abstractIn this paper, we find out all finite subgroups of SL(2,F) where F is an algebraically closed field of characteristic p. Besides, we compute the invariants of finite subgroups of SL(2,F) where p divides the order of the groups.en
dc.description.provenanceMade available in DSpace on 2021-06-13T05:53:15Z (GMT). No. of bitstreams: 1
ntu-95-R93221026-1.pdf: 178970 bytes, checksum: 7cb75d94498597e7e3cd9172da42ee76 (MD5)
Previous issue date: 2006
en
dc.description.tableofcontents1 Introduction (page 1)
2 Definitions and Terminology (page 1)
3 Finite Subgroups of SL(2,F) (page 2)
4 Modular Invariants (page 12)
References (page 23)
dc.language.isoen
dc.subject有限群zh_TW
dc.subject二維特殊線性群zh_TW
dc.subject不變量zh_TW
dc.subject2-dimensional special linear groupsen
dc.subjectmodular invariantsen
dc.subjectfinite subgroupsen
dc.title二維特殊線性群之有限群與不變量zh_TW
dc.titleSubgroups and modular invariants of 2-dimensional special linear groupsen
dc.typeThesis
dc.date.schoolyear94-2
dc.description.degree碩士
dc.contributor.oralexamcommittee余文卿(Minking Eie),胡守仁(Shou-Jen Hu)
dc.subject.keyword二維特殊線性群,有限群,不變量,zh_TW
dc.subject.keyword2-dimensional special linear groups,finite subgroups,modular invariants,en
dc.relation.page24
dc.rights.note有償授權
dc.date.accepted2006-07-04
dc.contributor.author-college理學院zh_TW
dc.contributor.author-dept數學研究所zh_TW
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