Mathematical Sciences: Highly Transitive and Homogeneous    Extensions of Infinite Permutation 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 project involves the use of recursion-theoretic and                   model-theoretic constructions as well as combinatorial group                    theory to obtain permutation representations of countable degree.               The principal investigator will extend countable sharp subgroups                of the countable symmetric group.  Highly transitive and                        relatively homogeneous representations of countable existentially               closed groups will also be studied.                                                  The research is in the general area of infinite group theory               with a focus on infinite permutation groups.  These groups will                 be studied by means of certain constructions from logic.  This                  interaction between algebra and logic is an area which is growing               in importance.  It has provided new insight into some long                      standing problems.
{'FirstName': 'Kenneth', 'LastName': 'Hickin', 'PI_MID_INIT': 'K', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Kenneth K Hickin', 'EmailAddress': None, 'NSF_ID': '000358490', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Michigan State University', 'CityName': 'EAST LANSING', 'ZipCode': '488242600', 'PhoneNumber': '5173555040', 'StreetAddress': '426 AUDITORIUM RD RM 2', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Michigan', 'StateCode': 'MI', 'CONGRESSDISTRICT': '07', 'CONGRESS_DISTRICT_ORG': 'MI07', 'ORG_UEI_NUM': 'R28EKN92ZTZ9', 'ORG_LGL_BUS_NAME': 'MICHIGAN STATE UNIVERSITY', 'ORG_PRNT_UEI_NUM': 'VJKZC4D1JN36'}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8701009.xml'}