Bartel, A. and Lenstra, H. W. (2017) Commensurability of automorphism groups. Compositio Mathematica, 153(2), pp. 323-346. (doi: 10.1112/S0010437X1600823X)
|
Text
149645.pdf - Accepted Version 528kB |
Abstract
We develop a theory of commensurability of groups, of rings, and of modules. It allows us, in certain cases, to compare sizes of automorphism groups of modules, even when those are infinite. This work is motivated by the Cohen–Lenstra heuristics on class groups.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Bartel, Professor Alex |
| Authors: | Bartel, A., and Lenstra, H. W. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Compositio Mathematica |
| Publisher: | Cambridge University Press |
| ISSN: | 0010-437X |
| ISSN (Online): | 1570-5846 |
| Published Online: | 06 February 2017 |
| Copyright Holders: | Copyright © 2017 Foundation Compositio Mathematica |
| First Published: | First published in Compositio Mathematica 153(2): 323-346 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
University Staff: Request a correction | Enlighten Editors: Update this record
Altmetric
Altmetric