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Commensurability of automorphism groups
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Bartel, Alex and Lenstra, Hendrik W. (2017) Commensurability of automorphism groups. Compositio Mathematica, 153 (2). pp. 323-346. ISSN 0010-437X.
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Official URL: https://doi.org/10.1112/S0010437X1600823X
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: | Journal Article | ||||||
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Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Library of Congress Subject Headings (LCSH): | Automorphisms, Group theory | ||||||
Journal or Publication Title: | Compositio Mathematica | ||||||
Publisher: | Cambridge University Press | ||||||
ISSN: | 0010-437X | ||||||
Official Date: | 6 February 2017 | ||||||
Dates: |
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Volume: | 153 | ||||||
Number: | 2 | ||||||
Page Range: | pp. 323-346 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Date of first compliant deposit: | 10 November 2016 | ||||||
Date of first compliant Open Access: | 23 May 2017 | ||||||
Funder: | Great Britain. Royal Commission for the Exhibition of 1851 |
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