| EPSRC Reference: |
GR/M22550/01 |
| Title: |
PRO-P GROUPS |
| Principal Investigator: |
du Sautoy, Professor M |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Department: |
Pure Maths and Mathematical Statistics |
| Organisation: |
University of Cambridge |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 March 1999 |
Ends: |
31 July 2002 |
Value (£): |
111,112
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The theory of pro-p groups has undergone something of a renaissance in the last 10 years. Pro-p groups especially, those with an analytic structure over the p-adic integers Z_p have proved a powerful tool in the group theorists arsenal. Increasingly number theorists too in their search for a non-commutative Iwasawa theory are looking to the theory of pro-p groups for answers.But even in their own right the world of pro-p groups has become a rich landscape for exploration with the appearance of new groups like Nottingham type groups (automorphisms of formal power series rings), Grigorchuks fractal groups (automorphisms of trees) and groups with analytic structures over pro-p rings which include examples like loop groups over local rings.We propose in this project to explore these realms beyond the familiar territory of p-adic analytic groups. In particular we look to develop a theory of groups analytic over rings like F_p[[T]] and Z_p[[t]] and to investigate their relationship with Nottingham groups and loop groups.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.cam.ac.uk |