#### Vol. 314, No. 2, 2021

 Recent Issues Vol. 314: 1  2 Vol. 313: 1  2 Vol. 312: 1  2 Vol. 311: 1  2 Vol. 310: 1  2 Vol. 309: 1  2 Vol. 308: 1  2 Vol. 307: 1  2 Online Archive Volume: Issue:
 The Journal Subscriptions Editorial Board Officers Contacts Submission Guidelines Submission Form Policies for Authors ISSN: 1945-5844 (e-only) ISSN: 0030-8730 (print) Special Issues Author Index To Appear Other MSP Journals
The unit signature rank deficiency is unbounded over cyclotomic fields

### David S. Dummit and Hershy Kisilevsky

Vol. 314 (2021), No. 2, 259–267
##### Abstract

We prove that the rank of the elementary abelian 2-group of totally positive units modulo the squares of all units in totally real cyclotomic fields can be arbitrarily large.

##### Keywords
cyclotomic fields, unit signature rank
##### Mathematical Subject Classification
Primary: 11R27
Secondary: 11R16, 11R18, 11R29, 11R80