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Finite groups with all maximal subgroups of prime or prime square index

Citation

Kohler, Joseph (1962) Finite groups with all maximal subgroups of prime or prime square index. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechTHESIS:08022011-101524826

Abstract

In this thesis finite groups whose maximal subgroups are of prime or prime square index are studied. The main problem considered is to find out to what extent this property is inherited by subgroups. The principal results are: this property is inherited by all subgroups if the group considered has odd order. This is not necessarily true if the group has even order. Let n be a positive integer. A group G of even order is constructed which contains a subgroup H, and H contains a maximal subgroup W with |H:W| larger than n.

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:08022011-101524826
Persistent URL:http://resolver.caltech.edu/CaltechTHESIS:08022011-101524826
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6565
Collection:CaltechTHESIS
Deposited By: Tony Diaz
Deposited On:19 Aug 2011 23:24
Last Modified:26 Dec 2012 04:37

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