Groups, Graphs, and Hypergraphs

Name: Groups, Graphs, and Hypergraphs
Brand: AMERICAN MATHEMATICAL SOCIETY
Price: 187.75 AUD
Availability: BackOrder

Average Sizes of Kernels of Generic Matrices with Support Constraints

By: Tobias Rossmann, Christopher Voll

Write A Review

Paperback | 29 August 2024

At a Glance

Paperback
120 Pages

Dimensions(cm)
25.4 x 17.8

Paperback

RRP $197.00

$187.75

or 4 interest-free payments of $46.94 with

or

Available for Backorder. We will order this from our supplier however there isn't a current ETA.

We develop a theory of average sizes of kernels of generic matrices with support constraints defined in terms of graphs and hypergraphs. We apply this theory to study unipotent groups associated with graphs. In particular, we establish strong uniformity results pertaining to zeta functions enumerating conjugacy classes of these groups. We deduce that the numbers of conjugacy classes of F_q-points of the groups under consideration depend polynomially on q. Our approach combines group theory, graph theory, toric geometry, and p-adic integration.

Our uniformity results are in line with a conjecture of Higman on the numbers of conjugacy classes of unitriangular matrix groups. Our findings are, however, in stark contrast to related results by Belkale and Brosnan on the numbers of generic symmetric matrices of given rank associated with graphs.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.