Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.489628
Title: The (S_3, A_n)- and (S_3, S_n)-amalgams of characteristic 2 and critical distance 3
Author: Morey, Paul Stephen
ISNI:       0000 0001 3420 2485
Awarding Body: University of Birmingham
Current Institution: University of Birmingham
Date of Award: 2003
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Abstract:
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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.489628  DOI: Not available
Keywords: QA Mathematics
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