Mathematical Sciences: A Relative Structure Theory for      Abelian Groups
{'Code': '03040300', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ann K. Boyle'}
This project is concerned with developing a theory of relative                  structure for abelian groups. The approach is through a series of               equivalence theorems. The principal investigator will concentrate               on Butler groups and global Warfield groups. In particular, the                 research will focus on establishing an equivalence theorem for                  arbitrary pure subgroups of completely decomposable groups.                          This project is in the general area of abelian group theory                and is concerned with the classification of abelian groups.                     Although the classification of finite abelian groups has been                   well understood for a century, the classification of infinite                   abelian groups remains elusive. This research involves this old                 problem of classification of the infinite abelian groups,                       approached by new tools from logic and analysis.
{'FirstName': 'Paul', 'LastName': 'Hill', 'EmailAddress': 'paul.hill@wku.edu', 'StartDate': '05/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Baylor University', 'CityName': 'Waco', 'ZipCode': '767987360', 'PhoneNumber': '2547103817', 'StreetAddress': 'One Bear Place #97360', 'CountryName': 'United States', 'StateName': 'Texas', 'StateCode': 'TX'}
{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8800862.xml'}