Mathematical Sciences: Research in Group Theory
{'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.                   There are several different directions that this research will                  take. The principal investigators will study the subgroup                       structure of the finite simple groups, examine flag transitive                  linear spaces and produce a unified and accessible treatment of                 the existence and uniqueness of the sporadic groups. In addition,               the Brauer centralizer algebras associated to the orthogonal and                symplectic groups will be examined, including connections of                    these algebras to enumerative combinatorics and representations                 of the Braid group.                                                                  This research deals with various aspects of group theory.                  One part is concerned with problems dealing with finite simple                  groups; the other with group representation theory and                          combinatorics. These are both very active areas and the results                 will be of interest to investigators in many areas of                           mathematics.
{'FirstName': 'Michael', 'LastName': 'Aschbacher', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Michael Aschbacher', 'EmailAddress': 'asch@its.caltech.edu', 'NSF_ID': '000449941', 'StartDate': '05/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'California Institute of Technology', 'CityName': 'PASADENA', 'ZipCode': '911250001', 'PhoneNumber': '6263956219', 'StreetAddress': '1200 E CALIFORNIA BLVD', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '28', 'CONGRESS_DISTRICT_ORG': 'CA28', 'ORG_UEI_NUM': 'U2JMKHNS5TG4', 'ORG_LGL_BUS_NAME': 'CALIFORNIA INSTITUTE OF TECHNOLOGY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8721480.xml'}