Preprint
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:
- Not peer reviewed
Actions
Access Document
- Files:
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(Preview, Pre-print, pdf, 174.9KB, Terms of use)
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- Preprint server copy:
- 10.48550/arXiv.2503.09177
Authors
- Preprint server:
- arXiv
- Publication date:
- 2025-03-12
- DOI:
- Language:
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English
- Pubs id:
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2095506
- Local pid:
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pubs:2095506
- Deposit date:
-
2025-05-21
Terms of use
- Copyright holder:
- Bar-On and Nikolov
- Copyright date:
- 2025
- Rights statement:
- © 2025 The Author(s).
- Notes:
- This record is a preprint of Jordan-Holder theorem for profinite groups and applications.
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