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

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

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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...

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Main Author: Cherkassoff, Michael Boris
Language:English
Published: 2009
Online Access:http://hdl.handle.net/2429/9473
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spelling ndltd-LACETR-oai-collectionscanada.gc.ca-BVAU.2429-94732014-03-14T15:43:18Z 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. 2009-06-19T23:32:19Z 2009-06-19T23:32:19Z 1998 2009-06-19T23:32:19Z 1998-11 Electronic Thesis or Dissertation http://hdl.handle.net/2429/9473 eng UBC Retrospective Theses Digitization Project [http://www.library.ubc.ca/archives/retro_theses/]
collection NDLTD
language English
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.
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
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