On triangles and quadrilaterals of groups

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.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

1995

Author dc:creator

• Lynch, Keith

Chair dc:contributor.committeechair

• Floyd, William J.

Committee members dc:contributor.committeemember

• Farkas, Daniel R.
• Green, Edward L.
• Linnell, Peter A.
• Quinn, Frank S.

• Math
• algebra
• geometry
• geometric group theory

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

en

Dc Identifier Other

etd-06072006-124226

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/38574