Thesis

A study of some finite permutation groups

Abstract:

This thesis records an attempt to prove the two conjecture: Conjecture A: Every finite non-regular primitive permutation group of degree n contains permutations fixing one point but fixing at most $n^{1/2}$ points. Conjecture C: Every finite irreducible linear group of degree m > 1 contains an element whose fixed-point space has dimension at most m/2. Variants of these conjectures are formulated, and C is reduced to a special case of A. The main results of the investigation are: Theore...

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Authors

Publisher:
University of Oxford;Mathematical Institute
Publication date:
1966
UUID:
uuid:13662173-b0cd-4776-bec4-e4f31eaa654b
Local pid:
oai:eprints.maths.ox.ac.uk:888
Deposit date:
2011-05-20