Journal article
Krull-Schmidt Theorem for small profinite groups
- Abstract:
- We prove that every small profinite group can be decomposed into a direct product of indecomposable profinite groups, and that such a decomposition is unique up to order and isomorphisms of the components. We also investigate the cancellation property of some free pro-\mathcal {C} groups, and give a new criterion for a profinite group to be small.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
-
-
(Preview, Accepted manuscript, pdf, 208.1KB, Terms of use)
-
- Publisher copy:
- 10.1090/proc/17455
Authors
+ Israel Science Foundation
More from this funder
- Funder identifier:
- https://ror.org/04sazxf24
- Grant:
- 569/21
- Publisher:
- American Mathematical Society
- Journal:
- Proceedings of the American Mathematical Society More from this journal
- Volume:
- 154
- Issue:
- 1
- Pages:
- 141-154
- Publication date:
- 2025-12-04
- Acceptance date:
- 2025-08-12
- DOI:
- EISSN:
-
1088-6826
- ISSN:
-
0002-9939
- Language:
-
English
- Keywords:
- Pubs id:
-
2354953
- Local pid:
-
pubs:2354953
- Deposit date:
-
2026-05-08
- ARK identifier:
Terms of use
- Copyright holder:
- American Mathematical Society
- Copyright date:
- 2025
- Rights statement:
- © 2025 American Mathematical Society
- Notes:
- The author accepted manuscript (AAM) of this paper has been made available under the University of Oxford's Open Access Publications Policy, and a CC BY public copyright licence has been applied.
- Licence:
- CC Attribution (CC BY)
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