College of Science and Mathematics
Department of Mathematics
Mathematics Seminar Series - Spring 2003
Monday,
March 10, 2003
11:30 am, Science Building, Small Auditorium
11:30 am, Science Building, Small Auditorium
Dan Matei
University of TokyoCounting Solvable Representations of Knot Groups
Abstract:
For G a knot group and S a finite solvable group we describe
a recursive procedure for computing the number of epimorphisms
of onto S in terms of the Alexander ideals of the knot and the
factors of a composition series of S. The key ingredients to
our approach are the degree 1 and 2 cohomology groups of G with
coefficients in a local system and the Mobius function of the
lattice of subgroups of S. As an application, we give formulae
for the number of index n subgroups of G, for low values of n.
The presentations cover a large variety of topics and are intended for a general math audience. The seminar is organized by Prof. Alfred Noël and we usually meet Monday afternoons, from 2:30 pm to 4:00 pm.
| Questions and suggestions regarding this page should be addressed to the Department Chair or to the Webmaster. | |||
| Page last modified: October 26, 2007 |
 |
Department of Mathematics University of Massachusetts Boston Phone: 617-287-6460; Fax: 617-287-6433 Information:  Webmaster:  |
|
