Type of Document Dissertation Author Lynch, Keith URN etd-06072006-124226 Title On triangles and quadrilaterals of groups Degree PhD Department Mathematics Advisory Committee
Advisor Name Title Floyd, William J. Committee Chair Farkas, Daniel R. Committee Member Green, Edward L. Committee Member Linnell, Peter A. Committee Member Quinn, Frank S. Committee Member Keywords
- geometric group theory
Date of Defense 1995-05-04 Availability restricted Abstract
This dissertation demonstrates the existence of a pair of algebraic and geometric structures on triangles of groups and on quadrilaterals of groups. These structures are an automatic and biautomatic structure. In addition, this paper also discusses the growth function for the quadrilaterals.
We show that these groups have these desired structures and discuss what they are. We also give an extraordinary example of a pair of quadrilaterals of groups that are defined nearly identically but do not behave alike.
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