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The Double Transitivity of a Class of Permutation Groups


Bercov, Ronald David (1962) The Double Transitivity of a Class of Permutation Groups. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/2T36-NC78.


In this thesis primitive finite permutation groups G with regular abelian subgroup H are studied. It is shown that if, for an odd prime p, H has a Sylow p-subgroup which is the direct product of two cyclic groups of different order, then G is doubly transitive.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Mathematics)
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Hall, Marshall
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1962
Record Number:CaltechTHESIS:07282011-085251999
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6551
Deposited By: Tony Diaz
Deposited On:24 Aug 2011 18:10
Last Modified:27 Nov 2023 23:27

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