Dickson's Classification of Finite Subgroups of the Two-dimensional Special Linear Group over an Algebraically Closed Field
(2019) In Master's Theses in Mathematical Sciences 2019:E63 MATM01 20192Mathematics (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:
http://lup.lub.lu.se/student-papers/record/8998907
- author
- Butler, Christopher LU
- supervisor
-
- Arne Meurman LU
- organization
- course
- MATM01 20192
- year
- 2019
- 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}}, }