Mathematical Sciences: Group-Theoretic Algorithm
{'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 computational group theory.                The principal investigator will develop improved techniques for                 determining the order of a permutation group from a set of                      generators.  He will explore the connections among coset                        enumeration, the nilpotent quotient algorithm and the Knuth-                    Bendix procedure for strings in an effort to improve the                        performance of each of these procedures.  He will also                          investigate the possibility of devising a practical algorithm for               computing infinite solvable quotients.                                               This research concerns the development and computer                        implementation of group theoretic algorithms.  This project is                  breaking ground in computational algebra which is an                            underdeveloped area relative to current computational technology.               The ideas that are proposed are new state-of-the-art innovations                and may provide dramatic improvements in certain types of                       enumerations.
{'FirstName': 'Charles', 'LastName': 'Sims', 'PI_MID_INIT': 'C', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Charles C Sims', 'EmailAddress': 'sims@math.rutgers.edu', 'NSF_ID': '000331627', 'StartDate': '06/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Rutgers University New Brunswick', 'CityName': 'NEW BRUNSWICK', 'ZipCode': '089018559', 'PhoneNumber': '8489320150', 'StreetAddress': '3 RUTGERS PLZ', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'New Jersey', 'StateCode': 'NJ', 'CONGRESSDISTRICT': '12', 'CONGRESS_DISTRICT_ORG': 'NJ12', 'ORG_UEI_NUM': 'M1LVPE5GLSD9', 'ORG_LGL_BUS_NAME': 'RUTGERS, THE STATE UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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[{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}, {'Code': '1271', 'Text': 'COMPUTATIONAL MATHEMATICS'}]
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8703542.xml'}