Definable and pseudofinite groups

Project description

Definable and pseudofinite groups

The EU-funded DEFGROUP project is exploring logic (model theory) and algebra (group theory), by studying groups known as 'first-order definable' in structures that satisfy certain model-theoretic restrictions. The project is working to show that groups definable in tame fields are closely related to the rational points of an algebraic group. The project is also working to prove that the soluble radical of any pseudofinite group with a simple theory is soluble. The project also aims to demonstrate that any infinite group definable in a pseudofinite field (or in any pseudofinite structure) is pseudofinite.

Fields of science

• natural sciences › mathematics › pure mathematics › discrete mathematics › mathematical logic
• natural sciences › mathematics › pure mathematics › algebra

Programme(s)

• H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme
• H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility

Topic(s)

• MSCA-IF-2018 - Individual Fellowships

Call for proposal

H2020-MSCA-IF-2018

See other projects for this call

Funding Scheme

MSCA-IF-EF-ST - Standard EF

Coordinator

UNIVERSITY OF LEEDS

Net EU contribution

€ 224 933,76

Address

Woodhouse Lane
LS2 9JT Leeds
United Kingdom

Region

Yorkshire and the Humber › West Yorkshire › Leeds

Activity type

Higher or Secondary Education Establishments

Links

Non-EU contribution

€ 0,00