Back to search
University of South Wales
Calculating the Height and Relational Complexity of the Primitive Actions of PSL2(q) and PGL2(q)
Abstract
dc:description.abstractFor a finite group acting on a finite set, a statistic called relational complexity can be calculated for the action. This notion was defined by Gregory Cherlin and motivated by considerations in model theory. Another related statistic is the height of the action, which provides an upper bound for relational complexity. In this thesis, both concepts are defined and some basic results proved. The main focus later on is examining the primitive actions of P SL2(q) and P GL2(q) and computing both the height and relational complexity for each one.
Degree
thesis:*- Name dc:type.qualificationname
- Doctoral Thesis
- Level dc:type.qualificationlevel
- Student thesis
- Year dc:date.issued
- 2023
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Hudson, Scott
- Advisors dc:contributor.advisor
-
- Spiga, Pablo
- Roach, Paul
Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- oai:pure.atira.dk:studenttheses/65328065-d8a1-44f7-9fd6-a9c2a2b16169
- OAI identifier oai:identifier
- oai:pure.atira.dk:studenttheses/65328065-d8a1-44f7-9fd6-a9c2a2b16169