The finite subgroups of $${\text {SL}}(3,\overline{F})$$
Autor: | Yuval Z. Flicker |
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Rok vydání: | 2020 |
Předmět: |
Pure mathematics
Finite group Overline General Mathematics 010102 general mathematics Order (ring theory) Field (mathematics) Algebraic geometry Mathematical proof 01 natural sciences 010305 fluids & plasmas Number theory Computational Theory and Mathematics 0103 physical sciences 0101 mathematics Statistics Probability and Uncertainty Mathematics |
Zdroj: | São Paulo Journal of Mathematical Sciences. 14:407-436 |
ISSN: | 2316-9028 1982-6907 |
DOI: | 10.1007/s40863-020-00178-0 |
Popis: | We attempt to give a complete exposition of the classification of the finite subgroups of $${\text {SL}}(3,\overline{F})$$ , where $$\overline{F}$$ is a separably closed field of characteristic not dividing the order of the finite group, in contemporary language, completing some of the proofs of Blichfeldt from the early twentieth century. The classification—originating from Jordan, Klein, Valentiner—has applications in algebraic geometry, number theory and mathematical physics. |
Databáze: | OpenAIRE |
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