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	Math algebra geometry 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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