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Title: Some problems in the theory of groups
Author: McDonough, T. P.
ISNI:       0000 0001 3623 8350
Awarding Body: University of Oxford
Current Institution: University of Oxford
Date of Award: 1972
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This work is divided into three parts, all of which are concerned with the characterisation of certain families of classical groups as doubly transitive permutation groups satisfying certain extra hypotheses. The first part is purely expository. It culminates in the characterisation - due to Marggraf - of the affine groups over GF(2). The second part deals with a characterisation of certain collineation groups of protective spaces as Jordan groups which admit a Jordan set of prime power cardinality and which have extra restrictions on some Sylow subgroups. The third part consists of results obtained while attempting to establish that insoluble groups of prime degree p (>7), whose Sylow p-subgroups have index 3 in their normalisers, are of the form PSL(3,q), for suitable prime powers q.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available