Mixed Groups with Decomposition Bases and Global k-Groups
Date
2006-08-15Type of Degree
ThesisDepartment
Mathematics and Statistics
Metadata
Show full item recordAbstract
This thesis is devoted to proving assertions made without proof by Paul Hill and Charles Megibben in their fundamental papers regarding knice subgroups and the Axiom 3 characterization of global Warfield groups. The main theme throughout is the relationship between the notions of a global k-group and a group with a decomposition basis. Most of our results involve properties of the auxiliary notions of primitive element and *-valuated coproduct in both the mixed and torsion free settings.