The origins of the word problem are in group theory, decidability and complexity. But through the vision of M. Gromov and the language of filling functions, the topic now impacts the world of large-scale geometry. This book contains accounts of many recent developments in Geometric Group Theory and shows the interaction between the word problem and geometry continues to be a central theme. It contains many figures, numerous exercises and open questions.... Kampen diagram for w over P by adding to the diagram D (the relabelled diagram D) for each m = 0, ..., k a diagram for ... areaP(I(w)) + const.l(w), and w is in the normal closure of set of relations in F(B) of length at most max(C +1+Ir+Im, (Ir +Im)anbsp;...
|Title||:||The Geometry of the Word Problem for Finitely Generated Groups|
|Author||:||Noel Brady, Tim Riley, Hamish Short|
|Publisher||:||Springer Science & Business Media - 2007-05-11|