Mathematical Sciences: Invariants 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', 'PO_EMAI': None, 'PO_PHON': None}
This research is concerned with the study of invariants for                torsion-free abelian groups of finite rank and finite valuated p-               groups. Successful completion of this project will result in a                  complete set of invariants for a large class of mixed abelian                   groups that includes the class of Warfield groups. Other areas of               investigation include the connection with vector space                          representations of finite partially ordered sets, the structure                 of torsion-free abelian groups that are flat as modules over                    their endomorphism ring, and E-modules.                                              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 with new techniques.
{'FirstName': 'Charles', 'LastName': 'Vinsonhaler', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Charles Vinsonhaler', 'EmailAddress': 'vinson@uconnvm.uconn.edu', 'NSF_ID': '000427142', 'StartDate': '08/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Connecticut', 'CityName': 'STORRS', 'ZipCode': '062699018', 'PhoneNumber': '8604863622', 'StreetAddress': '438 WHITNEY RD EXTENSION UNIT 11', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Connecticut', 'StateCode': 'CT', 'CONGRESSDISTRICT': '02', 'CONGRESS_DISTRICT_ORG': 'CT02', 'ORG_UEI_NUM': 'WNTPS995QBM7', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF CONNECTICUT', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '126400', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8802833.xml'}