Numerical characteristics of groups and their interrelations
Abstract
The entropy of the random walk on the discrete contable group could be used for comparison of the system of the generators. Fundamental inequality between growth, entropy and escape gives the possibility to define "the best" system of the generators. We formulate a new circle of the problems related to the various growth and asymptotics on the groups.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 September 1999
 arXiv:
 arXiv:math/9909167
 Bibcode:
 1999math......9167V
 Keywords:

 Mathematics  Probability;
 Mathematics  Group Theory;
 20P05;
 20F05
 EPrint:
 LaTeX, 13 pp