On triangles and quadrilaterals of groups

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dc.contributor.authorLynch, Keithen
dc.contributor.committeechairFloyd, William J.en
dc.contributor.committeememberFarkas, Daniel R.en
dc.contributor.committeememberGreen, Edward L.en
dc.contributor.committeememberLinnell, Peter A.en
dc.contributor.committeememberQuinn, Frank S.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T21:14:54Zen
dc.date.adate2006-06-07en
dc.date.available2014-03-14T21:14:54Zen
dc.date.issued1995-05-04en
dc.date.rdate2006-06-07en
dc.date.sdate2006-06-07en
dc.description.abstractThis 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.en
dc.description.degreePh. D.en
dc.format.extentx, 137 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-06072006-124226en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-06072006-124226/en
dc.identifier.urihttp://hdl.handle.net/10919/38574en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1995.L963.pdfen
dc.relation.isformatofOCLC# 34050885en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectMathen
dc.subjectalgebraen
dc.subjectgeometryen
dc.subjectgeometric group theoryen
dc.subject.lccLD5655.V856 1995.L963en
dc.titleOn triangles and quadrilaterals of groupsen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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