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 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.

Name dc:type.qualificationname

d_ph

Level dc:type.qualificationlevel

d_ph

Grantor dc:publisher.institution

University of Birmingham

Year dc:date.issued

2003

Author dc:creator

• Morey, Paul Stephen

• QA Mathematics

Repository record dc:identifier.uri

http://etheses.bham.ac.uk//id/eprint/110/2/Decl_IS_Morey03PhD.jpg

OAI identifier oai:identifier

oai:etheses.bham.ac.uk:110