Hilbert space compression for free products and HNN-extensions

Given the Hilbert space compression of two groups, we find bounds on the Hilbert space compression of their free product. We also investigate the Hilbert space compression of an HNN-extension of a group relative to a finite normal subgroup or a finite index subgroup.Comment: 18 page

The Chronicle

The dataset is a the entire collection of The Chronicle, the internal newsletter of Australian Catholic University. It was first published to commemorate the inauguration mass in 1992. The newsletters document researchers, teachers and professional staff, as well as important events from the history of Australian Catholic University, including the closure of Mercy and Christ campuses in Melbourne and the opening of St. Patrick's campus in 2000. The Chronicle was published approximately three times a year, with some years having four issues. Publiction of The Chronicle ceased in 2002. The dataset included scanned PDFs of each newsletter and XML files of each newsletter of the text