Generation of certain groups by three involutions, two of which commute

Generation of certain groups by three involutions, two of which commute

Show other versions (1)

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 generator...

Full description

Bibliographic Details
Main Author: Cherkassoff, Michael Boris
Format: Others
Language:English
Published: 2009
Online Access:http://hdl.handle.net/2429/9473
id ndltd-UBC-oai-circle.library.ubc.ca-2429-9473
record_format oai_dc
spelling ndltd-UBC-oai-circle.library.ubc.ca-2429-94732018-01-05T17:34:45Z Generation of certain groups by three involutions, two of which commute Cherkassoff, Michael Boris 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. Science, Faculty of Mathematics, Department of Graduate 2009-06-19T23:32:19Z 2009-06-19T23:32:19Z 1998 1998-11 Text Thesis/Dissertation http://hdl.handle.net/2429/9473 eng 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. 3507602 bytes application/pdf
collection NDLTD
language English
format Others
sources NDLTD
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. === Science, Faculty of === Mathematics, Department of === Graduate
author Cherkassoff, Michael Boris
spellingShingle Cherkassoff, Michael Boris
Generation of certain groups by three involutions, two of which commute
author_facet Cherkassoff, Michael Boris
author_sort Cherkassoff, Michael Boris
title Generation of certain groups by three involutions, two of which commute
title_short Generation of certain groups by three involutions, two of which commute
title_full Generation of certain groups by three involutions, two of which commute
title_fullStr Generation of certain groups by three involutions, two of which commute
title_full_unstemmed Generation of certain groups by three involutions, two of which commute
title_sort generation of certain groups by three involutions, two of which commute
publishDate 2009
url http://hdl.handle.net/2429/9473
work_keys_str_mv AT cherkassoffmichaelboris generationofcertaingroupsbythreeinvolutionstwoofwhichcommute
_version_ 1718588284542648320

Similar Items