The finite subgroups of SL (3 , F¯)

Yuval Z. Flicker

doi:10.1007/s40863-020-00178-0

The finite subgroups of SL (3 , F¯)

Yuval Z. Flicker

Department of Mathematics

Ariel University

Research output: Contribution to journal › Article › peer-review

Abstract

We attempt to give a complete exposition of the classification of the finite subgroups of SL (3 , F¯) , where 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.

Original language	English
Pages (from-to)	407-436
Number of pages	30
Journal	Sao Paulo Journal of Mathematical Sciences
Volume	14
Issue number	2
DOIs	https://doi.org/10.1007/s40863-020-00178-0
State	Published - Dec 2020

Keywords

Classification
Finite linear groups
SL (3 , C)

All Science Journal Classification (ASJC) codes

Statistics, Probability and Uncertainty
Computational Theory and Mathematics
General Mathematics

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10.1007/s40863-020-00178-0

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AB - We attempt to give a complete exposition of the classification of the finite subgroups of SL (3 , F¯) , where 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.

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JO - Sao Paulo Journal of Mathematical Sciences

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ER -

The finite subgroups of SL (3 , F¯)

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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