Projects / Programmes source: ARIS

Nilpotency conditions in groups

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Research activity

Code Science Field Subfield
1.01.00  Natural sciences and mathematics  Mathematics   

Code Science Field
P120  Natural sciences and mathematics  Number theory, field theory, algebraic geometry, algebra, group theory 
Keywords
groups, nilpotency, Engel groups, nonabelian tensor product
Evaluation (metodology)
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Evaluation of bibliographic research performance indicators according to ARIS methodology
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Organisations (1) , Researchers (2)
0101  Institute of Mathematics, Physics and Mechanics
no. Code Name and surname Research area Role Period No. of publications
1.  20268  PhD Primož Moravec  Mathematics  Researcher  2005 - 2007  229 
2.  09573  PhD Matjaž Omladič  Mathematics  Head  2005 - 2007  457 
Abstract
The aim of this project is study of groups satisfying various nilpotency conditions. In particular, we focus on n-Engel groups which play a prominent role in the theory of groups. We deal with the longstanding problem of local nilpotence of n-Engel groups. We want to develop general theory of Milnor groups, Lie algebraic methods for nilpotent semigroups. We also introduce tensor analogues of n-Engel groups, show their role in the algebraic topology and study the problem of local nilpotency of tensor n-Engel groups. 
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