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Dickson's Classification of Finite Subgroups of the Two-dimensional Special Linear Group over an Algebraically Closed Field

Butler, Christopher LU (2019) In Master's Theses in Mathematical Sciences 2019:E63 MATM01 20192
Mathematics (Faculty of Sciences)
Abstract
This paper is a reformulation of Leonard Dickson's complete classification of the finite subgroups of the two-dimensional special linear group over an arbitrary algebraically closed field, SL(2,F). The approach is to construct a class equation of the conjugacy classes of maximal abelian subgroups of an arbitrary finite subgroup of SL(2,F). In turn, this leads to only 10 possible classes of structures of this subgroup up to isomorphism.
Please use this url to cite or link to this publication:
author
Butler, Christopher LU
supervisor
organization
course
MATM01 20192
year
type
H2 - Master's Degree (Two Years)
subject
keywords
Group Theory, Special Linear Group, Classification Theorem, Maximal Abelian Subgroup
publication/series
Master's Theses in Mathematical Sciences 2019:E63
report number
LUNFMA-3111-2019
ISSN
1404-6342
other publication id
2019:E63
language
English
id
8998907
date added to LUP
2020-04-27 17:41:03
date last changed
2020-04-27 17:41:03
@misc{8998907,
  abstract     = {{This paper is a reformulation of Leonard Dickson's complete classification of the finite subgroups of the two-dimensional special linear group over an arbitrary algebraically closed field, SL(2,F). The approach is to construct a class equation of the conjugacy classes of maximal abelian subgroups of an arbitrary finite subgroup of SL(2,F). In turn, this leads to only 10 possible classes of structures of this subgroup up to isomorphism.}},
  author       = {{Butler, Christopher}},
  issn         = {{1404-6342}},
  language     = {{eng}},
  note         = {{Student Paper}},
  series       = {{Master's Theses in Mathematical Sciences 2019:E63}},
  title        = {{Dickson's Classification of Finite Subgroups of the Two-dimensional Special Linear Group over an Algebraically Closed Field}},
  year         = {{2019}},
}