Memoirs of the American Mathematical Society 2009; 159 pp; softcover Volume: 202 ISBN10: 0821844903 ISBN13: 9780821844908 List Price: US$72 Individual Members: US$43.20 Institutional Members: US$57.60 Order Code: MEMO/202/949
 This memoir is a refinement of the author's PhD thesis  written at Cornell University (2006). It is primarily a desription of new research but also includes a substantial amount of background material. At the heart of the memoir the author introduces and studies a poset \(NC^{(k)}(W)\) for each finite Coxeter group \(W\) and each positive integer \(k\). When \(k=1\), his definition coincides with the generalized noncrossing partitions introduced by Brady and Watt in \(K(\pi, 1)\)'s for Artin groups of finite type and Bessis in The dual braid monoid. When \(W\) is the symmetric group, the author obtains the poset of classical \(k\)divisible noncrossing partitions, first studied by Edelman in Chain enumeration and noncrossing partitions. Table of Contents  Introduction
 Coxeter groups and noncrossing partitions
 \(k\)divisible noncrossing partitions
 The classical types
 FussCatalan combinatorics
 Bibliography
