EPSRC Reference: 
EP/M016242/1 
Title: 
Homogeneous Steiner triple systems 
Principal Investigator: 
Webb, Dr BS 
Other Investigators: 

Researcher CoInvestigators: 

Project Partners: 

Department: 
Mathematics & Statistics 
Organisation: 
The Open University 
Scheme: 
Overseas Travel Grants (OTGS) 
Starts: 
01 January 2015 
Ends: 
31 May 2015 
Value (£): 
50,935

EPSRC Research Topic Classifications: 

EPSRC Industrial Sector Classifications: 
No relevance to Underpinning Sectors 


Related Grants: 

Panel History: 

Summary on Grant Application Form 
A combinatorial design is an arrangement of symbols into patterns in such a way that specified conditions are met. One example is a Sudoku, where each row of the square array contains each of the nine symbols exactly once, each column of the grid contains each of the nine symbols exactly once, and each minisquare contains each of the symbols exactly once. In a Sudoku the symbols are usually the numbers 19, but they could be any nine distinct symbols, colours, etc., since it is the arrangement that is important, not the actual symbols.
A Steiner triple system is another type of design; here a set of symbols is arranged into triples (sets of three symbols) in such a way that any pair of the symbols occurs together in exactly one triple.
In mathematics, homogeneity is a very strong symmetry property that means that any local symmetry is in fact a global symmetry. This project involves both finite and countably infinite Steiner triple systems and aims to work towards classifying all the Steiner triple systems with homogeneity properties.

Key Findings 
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Summary 

Date Materialised 


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