Title page for ETD etd-06072006-124226

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
  • Math
  • algebra
  • geometry
  • geometric group theory
Date of Defense 1995-05-04
Availability restricted

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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[VT] LD5655.V856_1995.L963.pdf 4.26 Mb 00:19:43 00:10:08 00:08:52 00:04:26 00:00:22
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