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UBC Theses and Dissertations
UBC Theses and Dissertations
Generation of certain groups by three involutions, two of which commute Cherkassoff, Michael Boris
Abstract
In this thesis the question of generating PSLn(q) with three involutions, two of which commute is completely settled. When such a generation is possible we explicitly supply the generators as well as all computations that would enable one to write any particular matrix in terms of these generators. We also provide a complete classification (up to conjugacy) of embeddings of the Klein 4-group into PSLn(q) over finite fields of odd characteristic and explicitly list representatives of each embedding.
Item Metadata
| Title |
Generation of certain groups by three involutions, two of which commute
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
1998
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| Description |
In this thesis the question of generating PSLn(q) with three involutions, two of which commute
is completely settled. When such a generation is possible we explicitly supply the generators
as well as all computations that would enable one to write any particular matrix in terms of
these generators.
We also provide a complete classification (up to conjugacy) of embeddings of the Klein 4-group
into PSLn(q) over finite fields of odd characteristic and explicitly list representatives of each
embedding.
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| Extent |
3507602 bytes
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| Genre | |
| Type | |
| File Format |
application/pdf
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| Language |
eng
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| Date Available |
2009-06-19
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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| DOI |
10.14288/1.0080085
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
1998-11
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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Item Media
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Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.