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

Morey, Paul Stephen (2003). The (S_3, A_n)- and (S_3, S_n)-amalgams of characteristic 2 and critical distance 3. University of Birmingham. Ph.D.

[img]
Preview
Morey03PhD.pdf
PDF

Download (803kB)

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.

Type of Work: Thesis (Doctorates > Ph.D.)
Award Type: Doctorates > Ph.D.
Supervisor(s):
Supervisor(s)EmailORCID
Parker, ChristopherUNSPECIFIEDUNSPECIFIED
Licence:
College/Faculty: Schools (1998 to 2008) > School of Mathematics & Statistics
School or Department: Mathematics and Statistics
Funders: Engineering and Physical Sciences Research Council
Subjects: Q Science > QA Mathematics
URI: http://etheses.bham.ac.uk/id/eprint/110

Actions

Request a Correction Request a Correction
View Item View Item

Downloads

Downloads per month over past year