TY - JOUR
T1 - The finite subgroups of SL (3 , F¯)
AU - Flicker, Yuval Z.
N1 - Publisher Copyright:
© 2020, Instituto de Matemática e Estatística da Universidade de São Paulo.
PY - 2020/12
Y1 - 2020/12
N2 - 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.
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.
KW - Classification
KW - Finite linear groups
KW - SL (3 , C)
UR - http://www.scopus.com/inward/record.url?scp=85086771483&partnerID=8YFLogxK
U2 - 10.1007/s40863-020-00178-0
DO - 10.1007/s40863-020-00178-0
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AN - SCOPUS:85086771483
SN - 1982-6907
VL - 14
SP - 407
EP - 436
JO - Sao Paulo Journal of Mathematical Sciences
JF - Sao Paulo Journal of Mathematical Sciences
IS - 2
ER -