Mathematical Sciences: Groups and Rings
{'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 project is concerned with research in group theory                    and ring theory. One investigator will be working on character                  theory. In particular, he will examine M-groups, the properties                 of the set of irreducible character degrees of solvable groups                  and the interactions between characters and sets of primes in                   these groups. The other investigator will work on group rings,                  crossed products, Galois theory and enveloping rings. He will                   apply Delta-methods to restricted enveloping rings of infinite                  dimensional Lie algebras. He will also determine when such                      rings satisfy a polynomial identity. Furthermore he plans to                    work on computations of Grothendieck groups and Gelfand-Kirilov                 dimension.                                                                           A group is an algebraic structure with one operation. A                    ring is an algebraic structure with two operations, addition                    and multiplication. It forms a group with respect to addition.                  These are basic abstract structures which occur in many                         settings in mathematics, chemistry and physics.
[{'FirstName': 'Donald', 'LastName': 'Passman', 'PI_MID_INIT': 'S', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Donald S Passman', 'EmailAddress': 'passman@math.wisc.edu', 'NSF_ID': '000165339', 'StartDate': '05/15/1989', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'I. Martin', 'LastName': 'Isaacs', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'I. Martin Isaacs', 'EmailAddress': 'isaacs@math.wisc.edu', 'NSF_ID': '000123103', 'StartDate': '05/15/1989', 'EndDate': None, 'RoleCode': 'Principal Investigator'}]
{'Name': 'University of Wisconsin-Madison', 'CityName': 'MADISON', 'ZipCode': '537151218', 'PhoneNumber': '6082623822', 'StreetAddress': '21 North Park Street', 'StreetAddress2': 'Suite 6301', 'CountryName': 'United States', 'StateName': 'Wisconsin', 'StateCode': 'WI', 'CONGRESSDISTRICT': '02', 'CONGRESS_DISTRICT_ORG': 'WI02', 'ORG_DUNS_NUM': '161202122', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF WISCONSIN SYSTEM', 'ORG_PRNT_DUNS_NUM': '041188822'}
{'Name': None, 'CityName': None, 'StateCode': None, 'ZipCode': None, 'StreetAddress': None, 'CountryCode': None, 'CountryName': None, 'StateName': None, 'CountryFlag': None, 'CONGRESSDISTRICT': None, 'CONGRESS_DISTRICT_PERF': '""'}
{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1989&All=true', 'xml': '8900405.xml'}