MathsNet: Research Student Directory

Name Eljamel, Noha
Group Algebra and Analysis
Room C18, Math Sci
Telephone +44 (0) 115 95 14961 [direct dial]
Thesis Title Small cancellation groups and SLP-universality
Thesis Abstract A polynomial equation of degree n over a field k is always solvable in a suitable extension of k. There has been much research aimed at finding a corresponding result for groups. Thus if r(t) is in the free product G*<t> of a given group G and the infinite cyclic group generated by t can we find an overgroup H of G in which r(t)=1 has a solution? In this project we study the general case when the coefficients of r(t) are themselves in G*<t>. This allows us, for example, to consider equations over groups of arbritary length about which not much is known.
School contact information School of Mathematical Sciences
University of Nottingham
University Park
Nottingham, NG7 2RD
Tel: +44 (0) 115 951 4949
Fax: +44 (0) 115 951 4951