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dc.contributor.authorAl-Janabi, Mohammed Abdul-Razzak
dc.description.abstractA group G is a small cancellation group if, roughly, it has a presentation G= <A; R with the property that for any pair r, s of elemets of R either r=s1 or there is very little free cancellation in forming the product rs. The classical example of such a group is the fundamental group of a closed orientable 2-manifold of genus k which has a presentation k G=< al, bl, ..., ak, bk; 'TT \ai, bi' i=1 A countable group G is SQ-universal if every countable group can be embedded =in some quotient of G. The obvious example of SQ-universal group is the free group of rank 0. This work is a study of the SQ-universality of some small cancellation groups. A theory of diagrams is investigated in some detail- to be used as a tool in this study. The main achievement in this work is the following two results: (1) With few exceptions a small cancellation group contains nonabelian free subgroups. ( The emphasis here is on the nature of the free generators. ) (2) A characterization of the S Q-universality of some small cancellation groups.en_US
dc.titleThe SQ universality of some small cancellation groupsen_US
dc.rights.holderThe copyright of this thesis rests with the author and no quotation from it or information derived from it may be published without the prior written consent of the author

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  • Theses [3134]
    Theses Awarded by Queen Mary University of London

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