Journal article
Jordan-Holder theorem for profinite groups and applications
- Abstract:
- We generalize the notions of composition series and composition factors for profinite groups, and prove a profinite version of the Jordan-Holder theorem. We apply this to prove a Galois theorem for infinite prosolvable extensions. In addition, we investigate the connection between the abstract and topological composition factors of a nonstrongly complete profinite group.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Version of record, pdf, 1.2MB, Terms of use)
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- Publisher copy:
- 10.1080/00927872.2025.2516111
Authors
- Publisher:
- Taylor & Francis
- Journal:
- Communications in Algebra More from this journal
- Publication date:
- 2025-06-25
- Acceptance date:
- 2025-05-20
- DOI:
- EISSN:
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1532-4125
- ISSN:
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0092-7872
- Language:
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English
- Keywords:
- Pubs id:
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2243540
- Local pid:
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pubs:2243540
- Deposit date:
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2025-07-18
Terms of use
- Copyright holder:
- Bar-On and Nikolov
- Copyright date:
- 2025
- Rights statement:
- © 2025 The Author(s). Published with license by Taylor & Francis Group, LLC This is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives License, which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited, and is not altered, transformed, or built upon in any way. The terms on which this article has been published allow the posting of the Accepted Manuscript in a repository by the author(s) or with their consent.
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