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
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.))|
|Degree Grantor:||California Institute of Technology|
|Division:||Physics, Mathematics and Astronomy|
|Thesis Availability:||Public (worldwide access)|
|Defense Date:||1 January 1962|
|Default Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||19 Aug 2011 23:24|
|Last Modified:||26 Dec 2012 04:37|
- Final Version
See Usage Policy.
Repository Staff Only: item control page