Details of Grant 

EPSRC Reference:	GR/M42220/01
Title:	GENERIC AUTOMORPHISMS AND SIMPLE THEORIES
Principal Investigator:	Macpherson, Professor HD
Other Investigators:	Truss, Professor J
Researcher Co-Investigators:
Project Partners:
Department:	Pure Mathematics
Organisation:	University of Leeds
Scheme:	Standard Research (Pre-FEC)
Starts:	12 April 1999	Ends:	11 July 1999	Value (£):	5,600
EPSRC Research Topic Classifications:	Logic & Combinatorics
EPSRC Industrial Sector Classifications:	No relevance to Underpinning Sectors
Related Grants:
Panel History:
Summary on Grant Application Form
The research concerns expansions of a structure M by an automorphism. Typically there is an amalgamation condition in the language of M with an additional symbol for an automorphism, and the theory of the expanded structure is a model companion (for the theory of M with automorphism), or the conjugacy class of the automorphism is comeagre in Aut M. We will tackle connections between various amalgamation conditions, and between different kinds of 'nice' automorphism, and try to find many expanded structures with good (for example, simple) theories. Genericity for automorphisms of separably closed and algebraically closed valued fields will be considered. We will look for applications to familiar questions about automorphism groups, concerning subgroups of small index, confinality, normal subgroup structure, and outer automorphisms.
Key Findings
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Potential use in non-academic contexts
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Impacts
Description This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk Summary Date Materialised
Sectors submitted by the Researcher
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Project URL:
Further Information:
Organisation Website:	http://www.leeds.ac.uk