GROUPS

The non-coprime k(GV) problem and generation of finite groups

Coordinatore	MAGYAR TUDOMANYOS AKADEMIA RENYI ALFRED MATEMATIKAI KUTATOINTEZET    more  Organization address address: REALTANODA STREET 13-15 city: Budapest postcode: 1053 contact info Titolo: Prof. Nome: Peter Pal Cognome: Palfy Email: send email Telefono: -4838267 Fax: -4838298
Nazionalità Coordinatore	Hungary [HU]
Totale costo	100˙000 €
EC contributo	100˙000 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-IRG-2008
Funding Scheme	MC-IRG
Anno di inizio	2009
Periodo (anno-mese-giorno)	2009-05-01   -   2013-04-30

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	MAGYAR TUDOMANYOS AKADEMIA RENYI ALFRED MATEMATIKAI KUTATOINTEZET  Organization address address: REALTANODA STREET 13-15 city: Budapest postcode: 1053 contact info Titolo: Prof. Nome: Peter Pal Cognome: Palfy Email: send email Telefono: -4838267 Fax: -4838298	HU (Budapest)	coordinator	100˙000.00

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 Obiettivo del progetto (Objective)

'Group theory is one of the oldest branches of modern mathematics. It has truly fascinating connections with combinatorics, representation theory, coding theory, algebraic geometry, physics, and chemistry. The Classification (Theorem) of Finite Simple Groups is one of the greatest intellectual achievements of the human mind. It describes the basic building blocks of finite groups. Its proof is over 10 000 journal pages long and it incorporates 100 years of mathematics. One of the motivations of this proposal is to find applications in pure mathematics of this remarkable theorem (CFSG).

Attila Maróti, the researcher of the present proposal, is an active participant in this area of research. After three and four years of successful work in the United Kingdom and the United States respectively he intends to return to Hungary and pursue his research program in the stimulating and supportive environment of the Rényi Institute. His efforts would be enforced by the complementary skills of the experts at the host in the theory of universal algebra, and in profinite group theory. In addition, the researcher would receive advanced training in extremal graph theory, and in combinatorics which are important for his future career. The ultimate goal of the researcher is to integrate his research at the host and start new or revive past scientific collaboration with members of the host.

The project would strengthen and diversify the mathematical profile of Hungary, one of the twelve new Member States of the European Union, by introducing an important new line of mainstream research and by providing new links to colleagues worldwide. The project would also contribute towards reversing brain drain. In short, the proposed project would enhance the potential and the attractiveness of the European Research Area.'