The (S_3, A_n)- and (S_3, S_n)-amalgams of characteristic 2 and critical distance 3

The (S_3, A_n)- and (S_3, S_n)-amalgams of characteristic 2 and critical distance 3

In this thesis a new characterisation of the (S_3, A_n)- and (S_3, S_n)-amalgams of characteristic 2 and critical distance 3 is obtained. It is shown that such an amalgam exists only in the exceptional cases when n=3, 5 or 8. Let C denote the class of all finite groups X of even order and such that...

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Bibliographic Details
Main Author: Morey, Paul Stephen
Published: University of Birmingham 2003
Subjects:
512.2
QA Mathematics
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.489628
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spelling ndltd-bl.uk-oai-ethos.bl.uk-4896282019-04-03T06:42:14ZThe (S_3, A_n)- and (S_3, S_n)-amalgams of characteristic 2 and critical distance 3Morey, Paul Stephen2003In this thesis a new characterisation of the (S_3, A_n)- and (S_3, S_n)-amalgams of characteristic 2 and critical distance 3 is obtained. It is shown that such an amalgam exists only in the exceptional cases when n=3, 5 or 8. Let C denote the class of all finite groups X of even order and such that O^2(X) is the unique minimal normal subgroup of X. It is the secondary purpose of this thesis to begin an investigation into the structure of the (S_3, C)-amalgams of characteristic 2 and critical distance 3. It is hoped that the results obtained may shed some light on the reason why so few of these amalgams are known to exist.512.2QA MathematicsUniversity of Birminghamhttps://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.489628http://etheses.bham.ac.uk//id/eprint/110/Electronic Thesis or Dissertation
collection NDLTD
sources NDLTD
topic 512.2
QA Mathematics
spellingShingle 512.2
QA Mathematics
Morey, Paul Stephen
The (S_3, A_n)- and (S_3, S_n)-amalgams of characteristic 2 and critical distance 3
description In this thesis a new characterisation of the (S_3, A_n)- and (S_3, S_n)-amalgams of characteristic 2 and critical distance 3 is obtained. It is shown that such an amalgam exists only in the exceptional cases when n=3, 5 or 8. Let C denote the class of all finite groups X of even order and such that O^2(X) is the unique minimal normal subgroup of X. It is the secondary purpose of this thesis to begin an investigation into the structure of the (S_3, C)-amalgams of characteristic 2 and critical distance 3. It is hoped that the results obtained may shed some light on the reason why so few of these amalgams are known to exist.
author Morey, Paul Stephen
author_facet Morey, Paul Stephen
author_sort Morey, Paul Stephen
title The (S_3, A_n)- and (S_3, S_n)-amalgams of characteristic 2 and critical distance 3
title_short The (S_3, A_n)- and (S_3, S_n)-amalgams of characteristic 2 and critical distance 3
title_full The (S_3, A_n)- and (S_3, S_n)-amalgams of characteristic 2 and critical distance 3
title_fullStr The (S_3, A_n)- and (S_3, S_n)-amalgams of characteristic 2 and critical distance 3
title_full_unstemmed The (S_3, A_n)- and (S_3, S_n)-amalgams of characteristic 2 and critical distance 3
title_sort (s_3, a_n)- and (s_3, s_n)-amalgams of characteristic 2 and critical distance 3
publisher University of Birmingham
publishDate 2003
url https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.489628
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AT moreypaulstephen s3anands3snamalgamsofcharacteristic2andcriticaldistance3
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