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University of Illinois at Urbana-Champaign
The Occurrence of Certain Types of Groups as Automorphism Groups
Abstract
dc:descriptionThis dissertation is a study of the relationship between the structure of a group and that of its automorphism group. We examine the characteristics of groups G whose automorphism group Aut G has specified properties. If H = Aut G for some group G, we call H an automorphism group. We will see that there are many classes of groups which are not automorphism groups, and many other classes which are automorphism groups of certain types of groups only.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Zimmerman, Jay James
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8324680
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/71210