Contents Online
Mathematical Research Letters
Volume 18 (2011)
Number 3
Group Width
Pages: 433 – 436
DOI: https://dx.doi.org/10.4310/MRL.2011.v18.n3.a4
Author
Abstract
There are many “minimax” complexity functions in mathematics: width of a tree or a link, Heegaard genus of a $3$-manifold, the Cheeger constant of a Riemannian manifold. We define such a function $w$, “width", on countable (or finite) groups and show $w(\mathbb{Z}^k)=k-1$.
Published 20 May 2011